Finding the Third Proportional to 6,609.94 and 9,502.31

Step by Step Solution

1. Step 1: Write the proportion equation
   6,609.94 : 9,502.31 = 9,502.31 : x
2. Step 2: Convert to fraction form
   6,609.94/9,502.31 = 9,502.31/x
3. Step 3: Cross multiply
   6,609.94x = 9,502.31 × 9,502.31
4. Step 4: Simplify right side
   6,609.94x = 90,293,942.85
5. Step 5: Solve for x
   x = 90,293,942.85/6,609.94
6. Step 6: Final answer
   x = 13,660.33