Falkirk survived a late scare to see off Lowland League side East Kilbride 3-1 and advance to round four of the Scottish Gas Scottish Cup.
First-half strikes from Alfredo Agyeman and Calvin Miller had put the Championship leaders in full control against the hosts at K-Park.
The home side survived a period of pressure early in the second period and gave themselves hope when Scott Ferguson reduced the deficit three minutes from time.
But Falkirk restored their two-goal cushion almost immediately when Callumn Morrison lashed home from the right side of the box.
