Finding the Third Proportional to 25,920 and 57,312

Step by Step Solution

1. Step 1: Write the proportion equation
   25,920 : 57,312 = 57,312 : x
2. Step 2: Convert to fraction form
   25,920/57,312 = 57,312/x
3. Step 3: Cross multiply
   25,920x = 57,312 × 57,312
4. Step 4: Simplify right side
   25,920x = 3,284,665,344
5. Step 5: Solve for x
   x = 3,284,665,344/25,920
6. Step 6: Final answer
   x = 126,723.20