Finding the Third Proportional to 3,747 and 5,350.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,747 : 5,350.50 = 5,350.50 : x
2. Step 2: Convert to fraction form
   3,747/5,350.50 = 5,350.50/x
3. Step 3: Cross multiply
   3,747x = 5,350.50 × 5,350.50
4. Step 4: Simplify right side
   3,747x = 28,627,850.25
5. Step 5: Solve for x
   x = 28,627,850.25/3,747
6. Step 6: Final answer
   x = 7,640.21