Finding the Third Proportional to 2,661.19 and 3,856.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,661.19 : 3,856.78 = 3,856.78 : x
2. Step 2: Convert to fraction form
   2,661.19/3,856.78 = 3,856.78/x
3. Step 3: Cross multiply
   2,661.19x = 3,856.78 × 3,856.78
4. Step 4: Simplify right side
   2,661.19x = 14,874,761.61
5. Step 5: Solve for x
   x = 14,874,761.61/2,661.19
6. Step 6: Final answer
   x = 5,589.52