India, hunting their first Test series win in Australia, are perfectly placed to take a 2-1 series lead.
Thereafter, Rohit Sharma (5) joined Agarwal for a brief period before Josh Hazlewood dismissed the Mumbaikar to further dent India to 44/5 and bring stumper Pant to the middle.
Indian pacer Jasprit Bumrah wreaked havoc with the ball on the third day of the third Test in Melbourne against Australia.
Jasprit Bumrah picked six of the ten opposition wickets that fell on the day three of the third Border-Gavaskar Test.
Resuming the day at 8/0, Australia openers Marcus Harris (22) and Aaron Finch (8) could add only 16 runs before Ishant struck to dismiss Finch caught by debutant Mayank Agarwal.
None of Australia's batsmen could muster more than 22, again demonstrating how much they miss Steve Smith and David Warner, whose bans for ball-tampering run out in late March.
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He was on eight when he feebly chipped an Ishant Sharma delivery to Agarwal at short midwicket, who took a hard diving catch.
Left-arm spinner Ravindra Jadeja got into the act by getting rid of Usman Khawaja for 21.
In reply to India's 443-7 declared, Australia went to lunch on 89-4 and failed to conquer a Melbourne Cricket Ground pitch offering variable bounce. The script didn't change much in the afternoon session which saw three more wickets tumbling even as the pitch continued to tease batsmen.
"We lost a few more wickets than we wanted to but we'll assess tomorrow morning and we'll try to add as much as we can and then hopefully get them out", Bumrah told reporters. The fast bowler then delivered an inspirational slow yorker at the stroke of lunch and the slow dipping delivery caught Shaun Marsh in front of the wicket. Cummins led the charge by removing India's three top run-getters on the tour - Cheteshwar Pujara (0), Kohli (0) and Rahane (1) - in the space of six balls to set the adrenaline pumping in Australian camp.
Kohli soon introduced Jadeja, however, who had tied Khawaja in knots in the first innings before having him caught for 21.
The end of Pant's entertaining knock of 33, when he guided the ball to Paine, prompted Kohli to declare.