Finding the Third Proportional to 6,914 and 10,695

Step by Step Solution

1. Step 1: Write the proportion equation
   6,914 : 10,695 = 10,695 : x
2. Step 2: Convert to fraction form
   6,914/10,695 = 10,695/x
3. Step 3: Cross multiply
   6,914x = 10,695 × 10,695
4. Step 4: Simplify right side
   6,914x = 114,383,025
5. Step 5: Solve for x
   x = 114,383,025/6,914
6. Step 6: Final answer
   x = 16,543.68