Finding the Third Proportional to 3,757.50 and 5,750.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,757.50 : 5,750.25 = 5,750.25 : x
2. Step 2: Convert to fraction form
   3,757.50/5,750.25 = 5,750.25/x
3. Step 3: Cross multiply
   3,757.50x = 5,750.25 × 5,750.25
4. Step 4: Simplify right side
   3,757.50x = 33,065,375.06
5. Step 5: Solve for x
   x = 33,065,375.06/3,757.50
6. Step 6: Final answer
   x = 8,799.83