Finding the Third Proportional to 16,496 and 25,582

Step by Step Solution

1. Step 1: Write the proportion equation
   16,496 : 25,582 = 25,582 : x
2. Step 2: Convert to fraction form
   16,496/25,582 = 25,582/x
3. Step 3: Cross multiply
   16,496x = 25,582 × 25,582
4. Step 4: Simplify right side
   16,496x = 654,438,724
5. Step 5: Solve for x
   x = 654,438,724/16,496
6. Step 6: Final answer
   x = 39,672.57