Finding the Third Proportional to 2,514.13 and 4,117.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,514.13 : 4,117.38 = 4,117.38 : x
2. Step 2: Convert to fraction form
   2,514.13/4,117.38 = 4,117.38/x
3. Step 3: Cross multiply
   2,514.13x = 4,117.38 × 4,117.38
4. Step 4: Simplify right side
   2,514.13x = 16,952,776.89
5. Step 5: Solve for x
   x = 16,952,776.89/2,514.13
6. Step 6: Final answer
   x = 6,743.01