Finding the Third Proportional to 25,872 and 56,448

Step by Step Solution

1. Step 1: Write the proportion equation
   25,872 : 56,448 = 56,448 : x
2. Step 2: Convert to fraction form
   25,872/56,448 = 56,448/x
3. Step 3: Cross multiply
   25,872x = 56,448 × 56,448
4. Step 4: Simplify right side
   25,872x = 3,186,376,704
5. Step 5: Solve for x
   x = 3,186,376,704/25,872
6. Step 6: Final answer
   x = 123,159.27