Machac, 23, made the brighter begin to the match, imposing himself with a flurry of crunching forehands and taking Draper to deuce within the Briton’s opening service recreation.
However Draper withstood the early barrage, settled in with three aces in his subsequent service recreation and shortly started to take management.
He was gifted the primary break when Machac put a routine overhead into the web after which went lengthy, however took full benefit, hammering a scorching backhand down the road to convey up two set factors earlier than changing a 3rd.
After exhibiting his energy from the baseline within the first, Draper confirmed his deft contact to start out the second with a pair of superb drop pictures.
However whereas there was a swagger to an more and more assured Draper, his opponent was rising ever extra pissed off and heated discussions with coach Daniel Vacek between – and through – video games grew to become the norm.
Double faults have been changing into a problem for the Czech world quantity 39 and two in a recreation enabled his opponent to interrupt on the first time of asking within the second set.
Having acquired the benefit, Draper was ruthless as he moved serenely across the court docket, coolly staving off a break-back level earlier than incomes his second break to go up 5-1.
Two eye-catching winners helped him serve it out and the prospect of a Machac comeback regarded unlikely when the Briton broke within the first recreation of the third set.
Of the six break factors Draper confronted 5 got here in his closing two service video games as Machac – by this stage two breaks down – tried to delay the inevitable however once more the British primary saved his cool.
“After the event, I can look again and be happy with no matter I’ve achieved however for now I’m targeted on the subsequent spherical and hopefully going additional,” he mentioned.
“Certainly one of my important objectives was to persistently be nice in apply and hold my physique sturdy and simply throughout get stronger and stronger and I believe a few of that work’s paying off.
“I’m simply glad to be within the place I’m in.”
With a quarter-final place confirmed, one other win would see Draper turn into the primary Briton to make the lads’s semi-finals in New York since Murray claimed his first Slam in 2012.