Finding the Third Proportional to 6,685 and 10,385

Step by Step Solution

1. Step 1: Write the proportion equation
   6,685 : 10,385 = 10,385 : x
2. Step 2: Convert to fraction form
   6,685/10,385 = 10,385/x
3. Step 3: Cross multiply
   6,685x = 10,385 × 10,385
4. Step 4: Simplify right side
   6,685x = 107,848,225
5. Step 5: Solve for x
   x = 107,848,225/6,685
6. Step 6: Final answer
   x = 16,132.87