Finding the Third Proportional to 2,742 and 3,921.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,742 : 3,921.38 = 3,921.38 : x
2. Step 2: Convert to fraction form
   2,742/3,921.38 = 3,921.38/x
3. Step 3: Cross multiply
   2,742x = 3,921.38 × 3,921.38
4. Step 4: Simplify right side
   2,742x = 15,377,181.89
5. Step 5: Solve for x
   x = 15,377,181.89/2,742
6. Step 6: Final answer
   x = 5,608.02