Finding the Third Proportional to 2,689 and 5,842

Step by Step Solution

1. Step 1: Write the proportion equation
   2,689 : 5,842 = 5,842 : x
2. Step 2: Convert to fraction form
   2,689/5,842 = 5,842/x
3. Step 3: Cross multiply
   2,689x = 5,842 × 5,842
4. Step 4: Simplify right side
   2,689x = 34,128,964
5. Step 5: Solve for x
   x = 34,128,964/2,689
6. Step 6: Final answer
   x = 12,692.07