Finding the Third Proportional to 2,744 and 4,139.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,744 : 4,139.50 = 4,139.50 : x
2. Step 2: Convert to fraction form
   2,744/4,139.50 = 4,139.50/x
3. Step 3: Cross multiply
   2,744x = 4,139.50 × 4,139.50
4. Step 4: Simplify right side
   2,744x = 17,135,460.25
5. Step 5: Solve for x
   x = 17,135,460.25/2,744
6. Step 6: Final answer
   x = 6,244.70