Finding the Third Proportional to 13,540 and 32,617

Step by Step Solution

1. Step 1: Write the proportion equation
   13,540 : 32,617 = 32,617 : x
2. Step 2: Convert to fraction form
   13,540/32,617 = 32,617/x
3. Step 3: Cross multiply
   13,540x = 32,617 × 32,617
4. Step 4: Simplify right side
   13,540x = 1,063,868,689
5. Step 5: Solve for x
   x = 1,063,868,689/13,540
6. Step 6: Final answer
   x = 78,572.28