Finding the Third Proportional to 6,684 and 10,414.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,684 : 10,414.50 = 10,414.50 : x
2. Step 2: Convert to fraction form
   6,684/10,414.50 = 10,414.50/x
3. Step 3: Cross multiply
   6,684x = 10,414.50 × 10,414.50
4. Step 4: Simplify right side
   6,684x = 108,461,810.25
5. Step 5: Solve for x
   x = 108,461,810.25/6,684
6. Step 6: Final answer
   x = 16,227.08