Finding the Third Proportional to 2,497.50 and 5,231.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,497.50 : 5,231.25 = 5,231.25 : x
2. Step 2: Convert to fraction form
   2,497.50/5,231.25 = 5,231.25/x
3. Step 3: Cross multiply
   2,497.50x = 5,231.25 × 5,231.25
4. Step 4: Simplify right side
   2,497.50x = 27,365,976.56
5. Step 5: Solve for x
   x = 27,365,976.56/2,497.50
6. Step 6: Final answer
   x = 10,957.35