Finding the Third Proportional to 3,540 and 5,182.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,540 : 5,182.50 = 5,182.50 : x
2. Step 2: Convert to fraction form
   3,540/5,182.50 = 5,182.50/x
3. Step 3: Cross multiply
   3,540x = 5,182.50 × 5,182.50
4. Step 4: Simplify right side
   3,540x = 26,858,306.25
5. Step 5: Solve for x
   x = 26,858,306.25/3,540
6. Step 6: Final answer
   x = 7,587.09