Finding the Third Proportional to 2,352.19 and 3,514.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,352.19 : 3,514.69 = 3,514.69 : x
2. Step 2: Convert to fraction form
   2,352.19/3,514.69 = 3,514.69/x
3. Step 3: Cross multiply
   2,352.19x = 3,514.69 × 3,514.69
4. Step 4: Simplify right side
   2,352.19x = 12,353,028.22
5. Step 5: Solve for x
   x = 12,353,028.22/2,352.19
6. Step 6: Final answer
   x = 5,251.72