Finding the Third Proportional to 2,447.50 and 3,728.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,447.50 : 3,728.50 = 3,728.50 : x
2. Step 2: Convert to fraction form
   2,447.50/3,728.50 = 3,728.50/x
3. Step 3: Cross multiply
   2,447.50x = 3,728.50 × 3,728.50
4. Step 4: Simplify right side
   2,447.50x = 13,901,712.25
5. Step 5: Solve for x
   x = 13,901,712.25/2,447.50
6. Step 6: Final answer
   x = 5,679.96