Finding the Third Proportional to 39,662 and 59,498

Step by Step Solution

1. Step 1: Write the proportion equation
   39,662 : 59,498 = 59,498 : x
2. Step 2: Convert to fraction form
   39,662/59,498 = 59,498/x
3. Step 3: Cross multiply
   39,662x = 59,498 × 59,498
4. Step 4: Simplify right side
   39,662x = 3,540,012,004
5. Step 5: Solve for x
   x = 3,540,012,004/39,662
6. Step 6: Final answer
   x = 89,254.50