Finding the Third Proportional to 25,542 and 59,355

Step by Step Solution

1. Step 1: Write the proportion equation
   25,542 : 59,355 = 59,355 : x
2. Step 2: Convert to fraction form
   25,542/59,355 = 59,355/x
3. Step 3: Cross multiply
   25,542x = 59,355 × 59,355
4. Step 4: Simplify right side
   25,542x = 3,523,016,025
5. Step 5: Solve for x
   x = 3,523,016,025/25,542
6. Step 6: Final answer
   x = 137,930.31