Finding the Third Proportional to 6,882 and 10,389

Step by Step Solution

1. Step 1: Write the proportion equation
   6,882 : 10,389 = 10,389 : x
2. Step 2: Convert to fraction form
   6,882/10,389 = 10,389/x
3. Step 3: Cross multiply
   6,882x = 10,389 × 10,389
4. Step 4: Simplify right side
   6,882x = 107,931,321
5. Step 5: Solve for x
   x = 107,931,321/6,882
6. Step 6: Final answer
   x = 15,683.13