Finding the Third Proportional to 2,203.88 and 5,197.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,203.88 : 5,197.50 = 5,197.50 : x
2. Step 2: Convert to fraction form
   2,203.88/5,197.50 = 5,197.50/x
3. Step 3: Cross multiply
   2,203.88x = 5,197.50 × 5,197.50
4. Step 4: Simplify right side
   2,203.88x = 27,014,006.25
5. Step 5: Solve for x
   x = 27,014,006.25/2,203.88
6. Step 6: Final answer
   x = 12,257.50