Finding the Third Proportional to 2,661.38 and 5,723.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,661.38 : 5,723.25 = 5,723.25 : x
2. Step 2: Convert to fraction form
   2,661.38/5,723.25 = 5,723.25/x
3. Step 3: Cross multiply
   2,661.38x = 5,723.25 × 5,723.25
4. Step 4: Simplify right side
   2,661.38x = 32,755,590.56
5. Step 5: Solve for x
   x = 32,755,590.56/2,661.38
6. Step 6: Final answer
   x = 12,307.77