Finding the Third Proportional to 3,747.50 and 5,499.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,747.50 : 5,499.75 = 5,499.75 : x
2. Step 2: Convert to fraction form
   3,747.50/5,499.75 = 5,499.75/x
3. Step 3: Cross multiply
   3,747.50x = 5,499.75 × 5,499.75
4. Step 4: Simplify right side
   3,747.50x = 30,247,250.06
5. Step 5: Solve for x
   x = 30,247,250.06/3,747.50
6. Step 6: Final answer
   x = 8,071.31