Finding the Third Proportional to 2,539.69 and 3,289.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,539.69 : 3,289.78 = 3,289.78 : x
2. Step 2: Convert to fraction form
   2,539.69/3,289.78 = 3,289.78/x
3. Step 3: Cross multiply
   2,539.69x = 3,289.78 × 3,289.78
4. Step 4: Simplify right side
   2,539.69x = 10,822,660.67
5. Step 5: Solve for x
   x = 10,822,660.67/2,539.69
6. Step 6: Final answer
   x = 4,261.41