Alright, let's work through 6966 times 8988 step by step
6966 × 8988 = 8988 × (6966)
+ 8988 × 6 resulting in 53928
+ 8988 × 60 producing 539280
+ 8988 × 900 giving us 8089200
+ 8988 × 6000 which equals 53928000

= 62610408
