Finding the Third Proportional to 2,514 and 5,257.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,514 : 5,257.50 = 5,257.50 : x
2. Step 2: Convert to fraction form
   2,514/5,257.50 = 5,257.50/x
3. Step 3: Cross multiply
   2,514x = 5,257.50 × 5,257.50
4. Step 4: Simplify right side
   2,514x = 27,641,306.25
5. Step 5: Solve for x
   x = 27,641,306.25/2,514
6. Step 6: Final answer
   x = 10,994.95