Finding the Third Proportional to 25,742 and 56,405

Step by Step Solution

1. Step 1: Write the proportion equation
   25,742 : 56,405 = 56,405 : x
2. Step 2: Convert to fraction form
   25,742/56,405 = 56,405/x
3. Step 3: Cross multiply
   25,742x = 56,405 × 56,405
4. Step 4: Simplify right side
   25,742x = 3,181,524,025
5. Step 5: Solve for x
   x = 3,181,524,025/25,742
6. Step 6: Final answer
   x = 123,592.73