Alright, let's work through 5002 times 6966 step by step
5002 × 6966 = 6966 × (5002)
+ 6966 × 2 yielding 13932
+ 6966 × 00 yielding 0
+ 6966 × 000 resulting in 0
+ 6966 × 5000 yielding 34830000

= 34843932
