Finding the Third Proportional to 10,689 and 16,582.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,689 : 16,582.50 = 16,582.50 : x
2. Step 2: Convert to fraction form
   10,689/16,582.50 = 16,582.50/x
3. Step 3: Cross multiply
   10,689x = 16,582.50 × 16,582.50
4. Step 4: Simplify right side
   10,689x = 274,979,306.25
5. Step 5: Solve for x
   x = 274,979,306.25/10,689
6. Step 6: Final answer
   x = 25,725.45