1. **State the problem:** Simplify the expression $$\frac{\sqrt{18} \cdot \sqrt{12}}{\sqrt{24}}$$. 2. **Recall the property of square roots:** $$\sqrt{a} \cdot \sqrt{b} = \sqrt{a \cdot b}$$. 3. **Apply the property to the numerator:** $$\sqrt{18} \cdot \sqrt{12} = \sqrt{18 \times 12} = \sqrt{216}$$. 4. **Rewrite the expression:** $$\frac{\sqrt{216}}{\sqrt{24}}$$. 5. **Use the property of division under square roots:** $$\frac{\sqrt{216}}{\sqrt{24}} = \sqrt{\frac{216}{24}}$$. 6. **Simplify the fraction inside the square root:** $$\frac{216}{24} = 9$$. 7. **So the expression becomes:** $$\sqrt{9}$$. 8. **Evaluate the square root:** $$\sqrt{9} = 3$$. **Final answer:** $$3$$