Finding the Third Proportional to 6,830 and 10,017

Step by Step Solution

1. Step 1: Write the proportion equation
   6,830 : 10,017 = 10,017 : x
2. Step 2: Convert to fraction form
   6,830/10,017 = 10,017/x
3. Step 3: Cross multiply
   6,830x = 10,017 × 10,017
4. Step 4: Simplify right side
   6,830x = 100,340,289
5. Step 5: Solve for x
   x = 100,340,289/6,830
6. Step 6: Final answer
   x = 14,691.11