Finding the Third Proportional to 25,741 and 56,404

Step by Step Solution

1. Step 1: Write the proportion equation
   25,741 : 56,404 = 56,404 : x
2. Step 2: Convert to fraction form
   25,741/56,404 = 56,404/x
3. Step 3: Cross multiply
   25,741x = 56,404 × 56,404
4. Step 4: Simplify right side
   25,741x = 3,181,411,216
5. Step 5: Solve for x
   x = 3,181,411,216/25,741
6. Step 6: Final answer
   x = 123,593.15