Finding the Third Proportional to 3,982.50 and 5,748.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,982.50 : 5,748.75 = 5,748.75 : x
2. Step 2: Convert to fraction form
   3,982.50/5,748.75 = 5,748.75/x
3. Step 3: Cross multiply
   3,982.50x = 5,748.75 × 5,748.75
4. Step 4: Simplify right side
   3,982.50x = 33,048,126.56
5. Step 5: Solve for x
   x = 33,048,126.56/3,982.50
6. Step 6: Final answer
   x = 8,298.34