Finding the Third Proportional to 6,682 and 10,345

Step by Step Solution

1. Step 1: Write the proportion equation
   6,682 : 10,345 = 10,345 : x
2. Step 2: Convert to fraction form
   6,682/10,345 = 10,345/x
3. Step 3: Cross multiply
   6,682x = 10,345 × 10,345
4. Step 4: Simplify right side
   6,682x = 107,019,025
5. Step 5: Solve for x
   x = 107,019,025/6,682
6. Step 6: Final answer
   x = 16,016.02