Trevone Boykin threw a 19-yard TD to Brandon Carter with 47 seconds left in the game.
Kansas State led 13-0 after Cantele made a 20-yard field goal with 28 seconds left in the first half. That came after Deante Gray tried to field a punt that sailed over his head, and it was recovered at the Frogs 5.
The Wildcats had yet another scoring chance before halftime when Ty Zimmerman returned an interception 30 yards to the TCU 31. But Cantele was wide right on a 48-yard field goal attempt on the final play of the half.
The Frogs have scored in 252 consecutive games since Nov. 16, 1991, the third-longest such streak in the nation behind Michigan (347) and Florida (307). Kansas State's streak of 200 games in a row is the eighth-longest in the nation.