Finding the Third Proportional to 3,738.50 and 5,785.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,738.50 : 5,785.25 = 5,785.25 : x
2. Step 2: Convert to fraction form
   3,738.50/5,785.25 = 5,785.25/x
3. Step 3: Cross multiply
   3,738.50x = 5,785.25 × 5,785.25
4. Step 4: Simplify right side
   3,738.50x = 33,469,117.56
5. Step 5: Solve for x
   x = 33,469,117.56/3,738.50
6. Step 6: Final answer
   x = 8,952.55