Finding the Third Proportional to 17,504 and 25,744

Step by Step Solution

1. Step 1: Write the proportion equation
   17,504 : 25,744 = 25,744 : x
2. Step 2: Convert to fraction form
   17,504/25,744 = 25,744/x
3. Step 3: Cross multiply
   17,504x = 25,744 × 25,744
4. Step 4: Simplify right side
   17,504x = 662,753,536
5. Step 5: Solve for x
   x = 662,753,536/17,504
6. Step 6: Final answer
   x = 37,862.98