Finding the Third Proportional to 5,745.94 and 8,785.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,745.94 : 8,785.69 = 8,785.69 : x
2. Step 2: Convert to fraction form
   5,745.94/8,785.69 = 8,785.69/x
3. Step 3: Cross multiply
   5,745.94x = 8,785.69 × 8,785.69
4. Step 4: Simplify right side
   5,745.94x = 77,188,304.85
5. Step 5: Solve for x
   x = 77,188,304.85/5,745.94
6. Step 6: Final answer
   x = 13,433.54