Finding the Third Proportional to 3,785.63 and 5,746.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,785.63 : 5,746.78 = 5,746.78 : x
2. Step 2: Convert to fraction form
   3,785.63/5,746.78 = 5,746.78/x
3. Step 3: Cross multiply
   3,785.63x = 5,746.78 × 5,746.78
4. Step 4: Simplify right side
   3,785.63x = 33,025,494.74
5. Step 5: Solve for x
   x = 33,025,494.74/3,785.63
6. Step 6: Final answer
   x = 8,723.92