Finding the Third Proportional to 17,414 and 25,386

Step by Step Solution

1. Step 1: Write the proportion equation
   17,414 : 25,386 = 25,386 : x
2. Step 2: Convert to fraction form
   17,414/25,386 = 25,386/x
3. Step 3: Cross multiply
   17,414x = 25,386 × 25,386
4. Step 4: Simplify right side
   17,414x = 644,448,996
5. Step 5: Solve for x
   x = 644,448,996/17,414
6. Step 6: Final answer
   x = 37,007.52