Alright, let's work through 6723 times 3496 step by step
6723 × 3496 = 3496 × (6723)
+ 3496 × 3 giving us 10488
+ 3496 × 20 that equals 69920
+ 3496 × 700 that equals 2447200
+ 3496 × 6000 producing 20976000

= 23503608
