Finding the Third Proportional to 5,648 and 12,514

Step by Step Solution

1. Step 1: Write the proportion equation
   5,648 : 12,514 = 12,514 : x
2. Step 2: Convert to fraction form
   5,648/12,514 = 12,514/x
3. Step 3: Cross multiply
   5,648x = 12,514 × 12,514
4. Step 4: Simplify right side
   5,648x = 156,600,196
5. Step 5: Solve for x
   x = 156,600,196/5,648
6. Step 6: Final answer
   x = 27,726.66