Finding the Third Proportional to 11,618 and 27,605

Step by Step Solution

1. Step 1: Write the proportion equation
   11,618 : 27,605 = 27,605 : x
2. Step 2: Convert to fraction form
   11,618/27,605 = 27,605/x
3. Step 3: Cross multiply
   11,618x = 27,605 × 27,605
4. Step 4: Simplify right side
   11,618x = 762,036,025
5. Step 5: Solve for x
   x = 762,036,025/11,618
6. Step 6: Final answer
   x = 65,590.98