Finding the Third Proportional to 6,882 and 10,677

Step by Step Solution

1. Step 1: Write the proportion equation
   6,882 : 10,677 = 10,677 : x
2. Step 2: Convert to fraction form
   6,882/10,677 = 10,677/x
3. Step 3: Cross multiply
   6,882x = 10,677 × 10,677
4. Step 4: Simplify right side
   6,882x = 113,998,329
5. Step 5: Solve for x
   x = 113,998,329/6,882
6. Step 6: Final answer
   x = 16,564.71