Finding the Third Proportional to 2,588 and 5,660

Step by Step Solution

1. Step 1: Write the proportion equation
   2,588 : 5,660 = 5,660 : x
2. Step 2: Convert to fraction form
   2,588/5,660 = 5,660/x
3. Step 3: Cross multiply
   2,588x = 5,660 × 5,660
4. Step 4: Simplify right side
   2,588x = 32,035,600
5. Step 5: Solve for x
   x = 32,035,600/2,588
6. Step 6: Final answer
   x = 12,378.52