Finding the Third Proportional to 25,744 and 56,410

Step by Step Solution

1. Step 1: Write the proportion equation
   25,744 : 56,410 = 56,410 : x
2. Step 2: Convert to fraction form
   25,744/56,410 = 56,410/x
3. Step 3: Cross multiply
   25,744x = 56,410 × 56,410
4. Step 4: Simplify right side
   25,744x = 3,182,088,100
5. Step 5: Solve for x
   x = 3,182,088,100/25,744
6. Step 6: Final answer
   x = 123,605.04