Finding the Third Proportional to 2,527.50 and 3,879

Step by Step Solution

1. Step 1: Write the proportion equation
   2,527.50 : 3,879 = 3,879 : x
2. Step 2: Convert to fraction form
   2,527.50/3,879 = 3,879/x
3. Step 3: Cross multiply
   2,527.50x = 3,879 × 3,879
4. Step 4: Simplify right side
   2,527.50x = 15,046,641
5. Step 5: Solve for x
   x = 15,046,641/2,527.50
6. Step 6: Final answer
   x = 5,953.17