Finding the Third Proportional to 2,574 and 3,879.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,574 : 3,879.50 = 3,879.50 : x
2. Step 2: Convert to fraction form
   2,574/3,879.50 = 3,879.50/x
3. Step 3: Cross multiply
   2,574x = 3,879.50 × 3,879.50
4. Step 4: Simplify right side
   2,574x = 15,050,520.25
5. Step 5: Solve for x
   x = 15,050,520.25/2,574
6. Step 6: Final answer
   x = 5,847.13