Finding the Third Proportional to 2,514.38 and 5,678.44

Step by Step Solution

1. Step 1: Write the proportion equation
   2,514.38 : 5,678.44 = 5,678.44 : x
2. Step 2: Convert to fraction form
   2,514.38/5,678.44 = 5,678.44/x
3. Step 3: Cross multiply
   2,514.38x = 5,678.44 × 5,678.44
4. Step 4: Simplify right side
   2,514.38x = 32,244,652.44
5. Step 5: Solve for x
   x = 32,244,652.44/2,514.38
6. Step 6: Final answer
   x = 12,824.12