Finding the Third Proportional to 3,766.25 and 5,747.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,766.25 : 5,747.25 = 5,747.25 : x
2. Step 2: Convert to fraction form
   3,766.25/5,747.25 = 5,747.25/x
3. Step 3: Cross multiply
   3,766.25x = 5,747.25 × 5,747.25
4. Step 4: Simplify right side
   3,766.25x = 33,030,882.56
5. Step 5: Solve for x
   x = 33,030,882.56/3,766.25
6. Step 6: Final answer
   x = 8,770.23