Finding the Third Proportional to 6,105.38 and 9,340.31

Step by Step Solution

1. Step 1: Write the proportion equation
   6,105.38 : 9,340.31 = 9,340.31 : x
2. Step 2: Convert to fraction form
   6,105.38/9,340.31 = 9,340.31/x
3. Step 3: Cross multiply
   6,105.38x = 9,340.31 × 9,340.31
4. Step 4: Simplify right side
   6,105.38x = 87,241,437.60
5. Step 5: Solve for x
   x = 87,241,437.60/6,105.38
6. Step 6: Final answer
   x = 14,289.28