Finding the Third Proportional to 25,840 and 57,524

Step by Step Solution

1. Step 1: Write the proportion equation
   25,840 : 57,524 = 57,524 : x
2. Step 2: Convert to fraction form
   25,840/57,524 = 57,524/x
3. Step 3: Cross multiply
   25,840x = 57,524 × 57,524
4. Step 4: Simplify right side
   25,840x = 3,309,010,576
5. Step 5: Solve for x
   x = 3,309,010,576/25,840
6. Step 6: Final answer
   x = 128,057.68