Finding the Third Proportional to 3,921.50 and 4,617.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,921.50 : 4,617.50 = 4,617.50 : x
2. Step 2: Convert to fraction form
   3,921.50/4,617.50 = 4,617.50/x
3. Step 3: Cross multiply
   3,921.50x = 4,617.50 × 4,617.50
4. Step 4: Simplify right side
   3,921.50x = 21,321,306.25
5. Step 5: Solve for x
   x = 21,321,306.25/3,921.50
6. Step 6: Final answer
   x = 5,437.03