Finding the Third Proportional to 3,982.50 and 7,337.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,982.50 : 7,337.25 = 7,337.25 : x
2. Step 2: Convert to fraction form
   3,982.50/7,337.25 = 7,337.25/x
3. Step 3: Cross multiply
   3,982.50x = 7,337.25 × 7,337.25
4. Step 4: Simplify right side
   3,982.50x = 53,835,237.56
5. Step 5: Solve for x
   x = 53,835,237.56/3,982.50
6. Step 6: Final answer
   x = 13,517.95