Finding the Third Proportional to 2,297.25 and 3,514.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,297.25 : 3,514.13 = 3,514.13 : x
2. Step 2: Convert to fraction form
   2,297.25/3,514.13 = 3,514.13/x
3. Step 3: Cross multiply
   2,297.25x = 3,514.13 × 3,514.13
4. Step 4: Simplify right side
   2,297.25x = 12,349,074.52
5. Step 5: Solve for x
   x = 12,349,074.52/2,297.25
6. Step 6: Final answer
   x = 5,375.59