Finding the Third Proportional to 3,540 and 5,588

Step by Step Solution

1. Step 1: Write the proportion equation
   3,540 : 5,588 = 5,588 : x
2. Step 2: Convert to fraction form
   3,540/5,588 = 5,588/x
3. Step 3: Cross multiply
   3,540x = 5,588 × 5,588
4. Step 4: Simplify right side
   3,540x = 31,225,744
5. Step 5: Solve for x
   x = 31,225,744/3,540
6. Step 6: Final answer
   x = 8,820.83