Finding the Third Proportional to 16,689 and 25,830

Step by Step Solution

1. Step 1: Write the proportion equation
   16,689 : 25,830 = 25,830 : x
2. Step 2: Convert to fraction form
   16,689/25,830 = 25,830/x
3. Step 3: Cross multiply
   16,689x = 25,830 × 25,830
4. Step 4: Simplify right side
   16,689x = 667,188,900
5. Step 5: Solve for x
   x = 667,188,900/16,689
6. Step 6: Final answer
   x = 39,977.76