Finding the Third Proportional to 2,678 and 5,691

Step by Step Solution

1. Step 1: Write the proportion equation
   2,678 : 5,691 = 5,691 : x
2. Step 2: Convert to fraction form
   2,678/5,691 = 5,691/x
3. Step 3: Cross multiply
   2,678x = 5,691 × 5,691
4. Step 4: Simplify right side
   2,678x = 32,387,481
5. Step 5: Solve for x
   x = 32,387,481/2,678
6. Step 6: Final answer
   x = 12,093.91