Finding the Third Proportional to 25,761 and 56,436

Step by Step Solution

1. Step 1: Write the proportion equation
   25,761 : 56,436 = 56,436 : x
2. Step 2: Convert to fraction form
   25,761/56,436 = 56,436/x
3. Step 3: Cross multiply
   25,761x = 56,436 × 56,436
4. Step 4: Simplify right side
   25,761x = 3,185,022,096
5. Step 5: Solve for x
   x = 3,185,022,096/25,761
6. Step 6: Final answer
   x = 123,637.36