1. **State the problem:** We are given that three-sevenths of a number is 24, and we need to find the number. 2. **Set up the equation:** Let the number be $x$. Then, \frac{3}{7} \times x = 24$. 3. **Solve for $x$:** Multiply both sides by the reciprocal of \frac{3}{7}$, which is \frac{7}{3}$: $$x = 24 \times \frac{7}{3}$$ 4. **Simplify the multiplication:** $$x = \cancel{24} \times \frac{7}{\cancel{3}} = 8 \times 7 = 56$$ 5. **Answer:** The number is $56$.