Finding the Third Proportional to 3,703.50 and 5,627.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,703.50 : 5,627.25 = 5,627.25 : x
2. Step 2: Convert to fraction form
   3,703.50/5,627.25 = 5,627.25/x
3. Step 3: Cross multiply
   3,703.50x = 5,627.25 × 5,627.25
4. Step 4: Simplify right side
   3,703.50x = 31,665,942.56
5. Step 5: Solve for x
   x = 31,665,942.56/3,703.50
6. Step 6: Final answer
   x = 8,550.27