Finding the Third Proportional to 2,588 and 5,662

Step by Step Solution

1. Step 1: Write the proportion equation
   2,588 : 5,662 = 5,662 : x
2. Step 2: Convert to fraction form
   2,588/5,662 = 5,662/x
3. Step 3: Cross multiply
   2,588x = 5,662 × 5,662
4. Step 4: Simplify right side
   2,588x = 32,058,244
5. Step 5: Solve for x
   x = 32,058,244/2,588
6. Step 6: Final answer
   x = 12,387.27