Finding the Third Proportional to 2,614 and 5,689

Step by Step Solution

1. Step 1: Write the proportion equation
   2,614 : 5,689 = 5,689 : x
2. Step 2: Convert to fraction form
   2,614/5,689 = 5,689/x
3. Step 3: Cross multiply
   2,614x = 5,689 × 5,689
4. Step 4: Simplify right side
   2,614x = 32,364,721
5. Step 5: Solve for x
   x = 32,364,721/2,614
6. Step 6: Final answer
   x = 12,381.30