Finding the Third Proportional to 2,605.50 and 3,909.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,605.50 : 3,909.09 = 3,909.09 : x
2. Step 2: Convert to fraction form
   2,605.50/3,909.09 = 3,909.09/x
3. Step 3: Cross multiply
   2,605.50x = 3,909.09 × 3,909.09
4. Step 4: Simplify right side
   2,605.50x = 15,281,013.95
5. Step 5: Solve for x
   x = 15,281,013.95/2,605.50
6. Step 6: Final answer
   x = 5,864.91