Finding the Third Proportional to 2,678 and 5,734

Step by Step Solution

1. Step 1: Write the proportion equation
   2,678 : 5,734 = 5,734 : x
2. Step 2: Convert to fraction form
   2,678/5,734 = 5,734/x
3. Step 3: Cross multiply
   2,678x = 5,734 × 5,734
4. Step 4: Simplify right side
   2,678x = 32,878,756
5. Step 5: Solve for x
   x = 32,878,756/2,678
6. Step 6: Final answer
   x = 12,277.35