Finding the Third Proportional to 25,088 and 54,496

Step by Step Solution

1. Step 1: Write the proportion equation
   25,088 : 54,496 = 54,496 : x
2. Step 2: Convert to fraction form
   25,088/54,496 = 54,496/x
3. Step 3: Cross multiply
   25,088x = 54,496 × 54,496
4. Step 4: Simplify right side
   25,088x = 2,969,814,016
5. Step 5: Solve for x
   x = 2,969,814,016/25,088
6. Step 6: Final answer
   x = 118,375.88