Finding the Third Proportional to 6,689 and 10,371.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,689 : 10,371.50 = 10,371.50 : x
2. Step 2: Convert to fraction form
   6,689/10,371.50 = 10,371.50/x
3. Step 3: Cross multiply
   6,689x = 10,371.50 × 10,371.50
4. Step 4: Simplify right side
   6,689x = 107,568,012.25
5. Step 5: Solve for x
   x = 107,568,012.25/6,689
6. Step 6: Final answer
   x = 16,081.33