Finding the Third Proportional to 25,728 and 56,382

Step by Step Solution

1. Step 1: Write the proportion equation
   25,728 : 56,382 = 56,382 : x
2. Step 2: Convert to fraction form
   25,728/56,382 = 56,382/x
3. Step 3: Cross multiply
   25,728x = 56,382 × 56,382
4. Step 4: Simplify right side
   25,728x = 3,178,929,924
5. Step 5: Solve for x
   x = 3,178,929,924/25,728
6. Step 6: Final answer
   x = 123,559.15