Finding the Third Proportional to 3,233.50 and 4,877.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,233.50 : 4,877.25 = 4,877.25 : x
2. Step 2: Convert to fraction form
   3,233.50/4,877.25 = 4,877.25/x
3. Step 3: Cross multiply
   3,233.50x = 4,877.25 × 4,877.25
4. Step 4: Simplify right side
   3,233.50x = 23,787,567.56
5. Step 5: Solve for x
   x = 23,787,567.56/3,233.50
6. Step 6: Final answer
   x = 7,356.60