Finding the Third Proportional to 8,538 and 13,690

Step by Step Solution

1. Step 1: Write the proportion equation
   8,538 : 13,690 = 13,690 : x
2. Step 2: Convert to fraction form
   8,538/13,690 = 13,690/x
3. Step 3: Cross multiply
   8,538x = 13,690 × 13,690
4. Step 4: Simplify right side
   8,538x = 187,416,100
5. Step 5: Solve for x
   x = 187,416,100/8,538
6. Step 6: Final answer
   x = 21,950.82