Finding the Third Proportional to 16,024 and 25,744

Step by Step Solution

1. Step 1: Write the proportion equation
   16,024 : 25,744 = 25,744 : x
2. Step 2: Convert to fraction form
   16,024/25,744 = 25,744/x
3. Step 3: Cross multiply
   16,024x = 25,744 × 25,744
4. Step 4: Simplify right side
   16,024x = 662,753,536
5. Step 5: Solve for x
   x = 662,753,536/16,024
6. Step 6: Final answer
   x = 41,360.06