Finding the Third Proportional to 25,314 and 55,542

Step by Step Solution

1. Step 1: Write the proportion equation
   25,314 : 55,542 = 55,542 : x
2. Step 2: Convert to fraction form
   25,314/55,542 = 55,542/x
3. Step 3: Cross multiply
   25,314x = 55,542 × 55,542
4. Step 4: Simplify right side
   25,314x = 3,084,913,764
5. Step 5: Solve for x
   x = 3,084,913,764/25,314
6. Step 6: Final answer
   x = 121,865.91