Finding the Third Proportional to 2,743.89 and 5,949.11

Step by Step Solution

1. Step 1: Write the proportion equation
   2,743.89 : 5,949.11 = 5,949.11 : x
2. Step 2: Convert to fraction form
   2,743.89/5,949.11 = 5,949.11/x
3. Step 3: Cross multiply
   2,743.89x = 5,949.11 × 5,949.11
4. Step 4: Simplify right side
   2,743.89x = 35,391,908.17
5. Step 5: Solve for x
   x = 35,391,908.17/2,743.89
6. Step 6: Final answer
   x = 12,898.42