Finding the Third Proportional to 3,723.75 and 5,760.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,723.75 : 5,760.38 = 5,760.38 : x
2. Step 2: Convert to fraction form
   3,723.75/5,760.38 = 5,760.38/x
3. Step 3: Cross multiply
   3,723.75x = 5,760.38 × 5,760.38
4. Step 4: Simplify right side
   3,723.75x = 33,181,920.14
5. Step 5: Solve for x
   x = 33,181,920.14/3,723.75
6. Step 6: Final answer
   x = 8,910.89