Thompson's first serve velocity averaged out at 190kmh through the first three sets, with his fastest ball clocking 222kmh, and he moved eagerly at the back of the court. "I got two big wins and it's hard not to like".
Querrey had prevailed in his last meeting with Kyrgios in the semi-finals of February's Mexican Open and has the same type of power-serving style as the lanky John Isner, who initially troubled the 21-year-old on Friday.
Sock was penetrative as any player on court in the fifth set after he was drafted into the doubles with Steve Johnson and reduced Australia's lead in the tie to 2-1 at Pat Rafter Arena.
The Australian comfortably took the second set but there were signs of frustration again in the third as he fell 1-4 behind before responding with five games in a row to secure victory.
BELGIUM'S David Goffin defeated Italy's Paolo Lorenzi in straight sets to seal a 3-1 Davis Cup victory for the hosts in Charleroi and a semifinal showdown with Australia.
"I just tried to wear him down, and I thought I was fit enough to do that", Thompson said.More news: Thousands at Stockholm 'Lovefest' vigil against terror
Australia's Nick Kyrgios celebrates with team captain Lleyton Hewitt after winning his Davis Cup quarter-final match against Sam Querrey of the United States of America at the Pat Rafter Arena in Brisbane, Australia, April 9, 2017.
And on Lleyton Hewitt, his team captain and the man now shaping as one of the greatest influences in his career and life in general: "He's helped me a lot this year".
Now ranked No.16 in the world, Kyrgios has been one of the ATP Tour's form players over the last two months, beating Novak Djokovic twice and battling Roger Federer in a classic Miami Open semi-final, which has been described as one of the best non-grand slam matches ever seen.
"At the end of the day we played the big points better at the end".
The victory made it two-from-two following his win over John Isner on Friday, while Thompson's upset of Sock, the United States of America number one, would ensure Sam Groth's loss to Isner in the final match on Sunday was a dead rubber.
He clocked a 221km/h ace when down a break point in the first game of the second set.More news: Crude oil eases for second day on rising U.S. production
Kyrgios won't return to the Davis Cup fold until September, when Australia travel to Belgium for the semi-final.
"It's fun to have a breather and have something to play for tomorrow", Courier said.
Steve Johnson and Jack Sock of the U.S. celebrate a point in their doubles match.
Spain avoided a whitewash in Belgrade thanks to Albert Ramos-Vinolas' 6-2 6-1 dead-rubber victory over Nenad Zimonjic after Serbia's Dusan Lajovic had fought back to beat Jaume Munar 2-6 6-1 6-4 earlier in the day.
He struggled to stay with Sock in the opening set but seized his chance when the American's serve deserted him at 3-4, breaking Sock to win the opener in 37 minutes.More news: Govt assesses impact of US, Oz visa curbs on Indians
- NBA Playoffs: Houston Rockets vs. Oklahoma City Thunder preview, outlook
- China, Germany must do more to cut trade surpluses
- Theresa May: We won't be doing television debates
- Another nearby planet found that may be just right for life
- North Korean official says will continue missile tests, reports BBC
- Manchester United beat leaders Chelsea to open up EPL title race
- Mike Pence fires a fresh warning shot at North Korea
- Kendall Jenner: 'I'm more of a Jenner than a Kardashian'
- S.Korea to match any N. Korean provocation
- New York Rangers: Plenty being said about Blueshirts' big Game 4 win