Finding the Third Proportional to 6,874 and 10,655

Step by Step Solution

1. Step 1: Write the proportion equation
   6,874 : 10,655 = 10,655 : x
2. Step 2: Convert to fraction form
   6,874/10,655 = 10,655/x
3. Step 3: Cross multiply
   6,874x = 10,655 × 10,655
4. Step 4: Simplify right side
   6,874x = 113,529,025
5. Step 5: Solve for x
   x = 113,529,025/6,874
6. Step 6: Final answer
   x = 16,515.72