Finding the Third Proportional to 2,514 and 3,266.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,514 : 3,266.25 = 3,266.25 : x
2. Step 2: Convert to fraction form
   2,514/3,266.25 = 3,266.25/x
3. Step 3: Cross multiply
   2,514x = 3,266.25 × 3,266.25
4. Step 4: Simplify right side
   2,514x = 10,668,389.06
5. Step 5: Solve for x
   x = 10,668,389.06/2,514
6. Step 6: Final answer
   x = 4,243.59