Finding the Third Proportional to 2,661.75 and 3,982.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,661.75 : 3,982.50 = 3,982.50 : x
2. Step 2: Convert to fraction form
   2,661.75/3,982.50 = 3,982.50/x
3. Step 3: Cross multiply
   2,661.75x = 3,982.50 × 3,982.50
4. Step 4: Simplify right side
   2,661.75x = 15,860,306.25
5. Step 5: Solve for x
   x = 15,860,306.25/2,661.75
6. Step 6: Final answer
   x = 5,958.60