Finding the Third Proportional to 11,514 and 12,618

Step by Step Solution

1. Step 1: Write the proportion equation
   11,514 : 12,618 = 12,618 : x
2. Step 2: Convert to fraction form
   11,514/12,618 = 12,618/x
3. Step 3: Cross multiply
   11,514x = 12,618 × 12,618
4. Step 4: Simplify right side
   11,514x = 159,213,924
5. Step 5: Solve for x
   x = 159,213,924/11,514
6. Step 6: Final answer
   x = 13,827.86