Finding the Third Proportional to 6,942.38 and 10,648.13

Step by Step Solution

1. Step 1: Write the proportion equation
   6,942.38 : 10,648.13 = 10,648.13 : x
2. Step 2: Convert to fraction form
   6,942.38/10,648.13 = 10,648.13/x
3. Step 3: Cross multiply
   6,942.38x = 10,648.13 × 10,648.13
4. Step 4: Simplify right side
   6,942.38x = 113,382,566.02
5. Step 5: Solve for x
   x = 113,382,566.02/6,942.38
6. Step 6: Final answer
   x = 16,331.96