Finding the Third Proportional to 2,514.38 and 5,097.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,514.38 : 5,097.94 = 5,097.94 : x
2. Step 2: Convert to fraction form
   2,514.38/5,097.94 = 5,097.94/x
3. Step 3: Cross multiply
   2,514.38x = 5,097.94 × 5,097.94
4. Step 4: Simplify right side
   2,514.38x = 25,988,966.75
5. Step 5: Solve for x
   x = 25,988,966.75/2,514.38
6. Step 6: Final answer
   x = 10,336.15