Finding the Third Proportional to 25,920 and 56,448

Step by Step Solution

1. Step 1: Write the proportion equation
   25,920 : 56,448 = 56,448 : x
2. Step 2: Convert to fraction form
   25,920/56,448 = 56,448/x
3. Step 3: Cross multiply
   25,920x = 56,448 × 56,448
4. Step 4: Simplify right side
   25,920x = 3,186,376,704
5. Step 5: Solve for x
   x = 3,186,376,704/25,920
6. Step 6: Final answer
   x = 122,931.20