Finding the Third Proportional to 25,727 and 55,663

Step by Step Solution

1. Step 1: Write the proportion equation
   25,727 : 55,663 = 55,663 : x
2. Step 2: Convert to fraction form
   25,727/55,663 = 55,663/x
3. Step 3: Cross multiply
   25,727x = 55,663 × 55,663
4. Step 4: Simplify right side
   25,727x = 3,098,369,569
5. Step 5: Solve for x
   x = 3,098,369,569/25,727
6. Step 6: Final answer
   x = 120,432.60