Finding the Third Proportional to 2,443.50 and 5,906.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,443.50 : 5,906.25 = 5,906.25 : x
2. Step 2: Convert to fraction form
   2,443.50/5,906.25 = 5,906.25/x
3. Step 3: Cross multiply
   2,443.50x = 5,906.25 × 5,906.25
4. Step 4: Simplify right side
   2,443.50x = 34,883,789.06
5. Step 5: Solve for x
   x = 34,883,789.06/2,443.50
6. Step 6: Final answer
   x = 14,276.16