Finding the Third Proportional to 2,744.25 and 4,198.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,744.25 : 4,198.50 = 4,198.50 : x
2. Step 2: Convert to fraction form
   2,744.25/4,198.50 = 4,198.50/x
3. Step 3: Cross multiply
   2,744.25x = 4,198.50 × 4,198.50
4. Step 4: Simplify right side
   2,744.25x = 17,627,402.25
5. Step 5: Solve for x
   x = 17,627,402.25/2,744.25
6. Step 6: Final answer
   x = 6,423.40