Finding the Third Proportional to 2,589 and 5,386

Step by Step Solution

1. Step 1: Write the proportion equation
   2,589 : 5,386 = 5,386 : x
2. Step 2: Convert to fraction form
   2,589/5,386 = 5,386/x
3. Step 3: Cross multiply
   2,589x = 5,386 × 5,386
4. Step 4: Simplify right side
   2,589x = 29,008,996
5. Step 5: Solve for x
   x = 29,008,996/2,589
6. Step 6: Final answer
   x = 11,204.71