Finding the Third Proportional to 16,496 and 22,682

Step by Step Solution

1. Step 1: Write the proportion equation
   16,496 : 22,682 = 22,682 : x
2. Step 2: Convert to fraction form
   16,496/22,682 = 22,682/x
3. Step 3: Cross multiply
   16,496x = 22,682 × 22,682
4. Step 4: Simplify right side
   16,496x = 514,473,124
5. Step 5: Solve for x
   x = 514,473,124/16,496
6. Step 6: Final answer
   x = 31,187.75