Finding the Third Proportional to 2,502.56 and 3,856.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,502.56 : 3,856.78 = 3,856.78 : x
2. Step 2: Convert to fraction form
   2,502.56/3,856.78 = 3,856.78/x
3. Step 3: Cross multiply
   2,502.56x = 3,856.78 × 3,856.78
4. Step 4: Simplify right side
   2,502.56x = 14,874,761.61
5. Step 5: Solve for x
   x = 14,874,761.61/2,502.56
6. Step 6: Final answer
   x = 5,943.81