Finding the Third Proportional to 10,915.50 and 16,689

Step by Step Solution

1. Step 1: Write the proportion equation
   10,915.50 : 16,689 = 16,689 : x
2. Step 2: Convert to fraction form
   10,915.50/16,689 = 16,689/x
3. Step 3: Cross multiply
   10,915.50x = 16,689 × 16,689
4. Step 4: Simplify right side
   10,915.50x = 278,522,721
5. Step 5: Solve for x
   x = 278,522,721/10,915.50
6. Step 6: Final answer
   x = 25,516.26