Finding the Third Proportional to 6,830 and 10,612

Step by Step Solution

1. Step 1: Write the proportion equation
   6,830 : 10,612 = 10,612 : x
2. Step 2: Convert to fraction form
   6,830/10,612 = 10,612/x
3. Step 3: Cross multiply
   6,830x = 10,612 × 10,612
4. Step 4: Simplify right side
   6,830x = 112,614,544
5. Step 5: Solve for x
   x = 112,614,544/6,830
6. Step 6: Final answer
   x = 16,488.22