Finding the Third Proportional to 2,586.52 and 3,879.98

Step by Step Solution

1. Step 1: Write the proportion equation
   2,586.52 : 3,879.98 = 3,879.98 : x
2. Step 2: Convert to fraction form
   2,586.52/3,879.98 = 3,879.98/x
3. Step 3: Cross multiply
   2,586.52x = 3,879.98 × 3,879.98
4. Step 4: Simplify right side
   2,586.52x = 15,054,278.75
5. Step 5: Solve for x
   x = 15,054,278.75/2,586.52
6. Step 6: Final answer
   x = 5,820.29