Finding the Third Proportional to 3,768 and 5,514

Step by Step Solution

1. Step 1: Write the proportion equation
   3,768 : 5,514 = 5,514 : x
2. Step 2: Convert to fraction form
   3,768/5,514 = 5,514/x
3. Step 3: Cross multiply
   3,768x = 5,514 × 5,514
4. Step 4: Simplify right side
   3,768x = 30,404,196
5. Step 5: Solve for x
   x = 30,404,196/3,768
6. Step 6: Final answer
   x = 8,069.05