Finding the Third Proportional to 3,597 and 5,017.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,597 : 5,017.50 = 5,017.50 : x
2. Step 2: Convert to fraction form
   3,597/5,017.50 = 5,017.50/x
3. Step 3: Cross multiply
   3,597x = 5,017.50 × 5,017.50
4. Step 4: Simplify right side
   3,597x = 25,175,306.25
5. Step 5: Solve for x
   x = 25,175,306.25/3,597
6. Step 6: Final answer
   x = 6,998.97