Finding the Third Proportional to 3,786.25 and 5,747.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,786.25 : 5,747.50 = 5,747.50 : x
2. Step 2: Convert to fraction form
   3,786.25/5,747.50 = 5,747.50/x
3. Step 3: Cross multiply
   3,786.25x = 5,747.50 × 5,747.50
4. Step 4: Simplify right side
   3,786.25x = 33,033,756.25
5. Step 5: Solve for x
   x = 33,033,756.25/3,786.25
6. Step 6: Final answer
   x = 8,724.66