Finding the Third Proportional to 2,203.50 and 5,327.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,203.50 : 5,327.25 = 5,327.25 : x
2. Step 2: Convert to fraction form
   2,203.50/5,327.25 = 5,327.25/x
3. Step 3: Cross multiply
   2,203.50x = 5,327.25 × 5,327.25
4. Step 4: Simplify right side
   2,203.50x = 28,379,592.56
5. Step 5: Solve for x
   x = 28,379,592.56/2,203.50
6. Step 6: Final answer
   x = 12,879.32