Finding the Third Proportional to 16,589 and 25,687

Step by Step Solution

1. Step 1: Write the proportion equation
   16,589 : 25,687 = 25,687 : x
2. Step 2: Convert to fraction form
   16,589/25,687 = 25,687/x
3. Step 3: Cross multiply
   16,589x = 25,687 × 25,687
4. Step 4: Simplify right side
   16,589x = 659,821,969
5. Step 5: Solve for x
   x = 659,821,969/16,589
6. Step 6: Final answer
   x = 39,774.67