Finding the Third Proportional to 2,678 and 3,993.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,678 : 3,993.50 = 3,993.50 : x
2. Step 2: Convert to fraction form
   2,678/3,993.50 = 3,993.50/x
3. Step 3: Cross multiply
   2,678x = 3,993.50 × 3,993.50
4. Step 4: Simplify right side
   2,678x = 15,948,042.25
5. Step 5: Solve for x
   x = 15,948,042.25/2,678
6. Step 6: Final answer
   x = 5,955.21