Finding the Third Proportional to 6,900 and 10,414

Step by Step Solution

1. Step 1: Write the proportion equation
   6,900 : 10,414 = 10,414 : x
2. Step 2: Convert to fraction form
   6,900/10,414 = 10,414/x
3. Step 3: Cross multiply
   6,900x = 10,414 × 10,414
4. Step 4: Simplify right side
   6,900x = 108,451,396
5. Step 5: Solve for x
   x = 108,451,396/6,900
6. Step 6: Final answer
   x = 15,717.59