Finding the Third Proportional to 6,081.38 and 9,165.56

Step by Step Solution

1. Step 1: Write the proportion equation
   6,081.38 : 9,165.56 = 9,165.56 : x
2. Step 2: Convert to fraction form
   6,081.38/9,165.56 = 9,165.56/x
3. Step 3: Cross multiply
   6,081.38x = 9,165.56 × 9,165.56
4. Step 4: Simplify right side
   6,081.38x = 84,007,535.94
5. Step 5: Solve for x
   x = 84,007,535.94/6,081.38
6. Step 6: Final answer
   x = 13,813.90