Finding the Third Proportional to 6,689 and 10,391

Step by Step Solution

1. Step 1: Write the proportion equation
   6,689 : 10,391 = 10,391 : x
2. Step 2: Convert to fraction form
   6,689/10,391 = 10,391/x
3. Step 3: Cross multiply
   6,689x = 10,391 × 10,391
4. Step 4: Simplify right side
   6,689x = 107,972,881
5. Step 5: Solve for x
   x = 107,972,881/6,689
6. Step 6: Final answer
   x = 16,141.86