Finding the Third Proportional to 2,287.50 and 5,265.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,287.50 : 5,265.75 = 5,265.75 : x
2. Step 2: Convert to fraction form
   2,287.50/5,265.75 = 5,265.75/x
3. Step 3: Cross multiply
   2,287.50x = 5,265.75 × 5,265.75
4. Step 4: Simplify right side
   2,287.50x = 27,728,123.06
5. Step 5: Solve for x
   x = 27,728,123.06/2,287.50
6. Step 6: Final answer
   x = 12,121.58