Finding the Third Proportional to 25,142 and 53,496

Step by Step Solution

1. Step 1: Write the proportion equation
   25,142 : 53,496 = 53,496 : x
2. Step 2: Convert to fraction form
   25,142/53,496 = 53,496/x
3. Step 3: Cross multiply
   25,142x = 53,496 × 53,496
4. Step 4: Simplify right side
   25,142x = 2,861,822,016
5. Step 5: Solve for x
   x = 2,861,822,016/25,142
6. Step 6: Final answer
   x = 113,826.35