Alright, let's work through 5098 times 3679 step by step
5098 × 3679 = 3679 × (5098)
+ 3679 × 8 that results in 29432
+ 3679 × 90 giving us 331110
+ 3679 × 000 resulting in 0
+ 3679 × 5000 that equals 18395000

= 18755542
