Finding the Third Proportional to 2,409 and 3,839.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,409 : 3,839.50 = 3,839.50 : x
2. Step 2: Convert to fraction form
   2,409/3,839.50 = 3,839.50/x
3. Step 3: Cross multiply
   2,409x = 3,839.50 × 3,839.50
4. Step 4: Simplify right side
   2,409x = 14,741,760.25
5. Step 5: Solve for x
   x = 14,741,760.25/2,409
6. Step 6: Final answer
   x = 6,119.45