Question: User: 39
26
=
42
q
q =
1. **State the problem:** Solve for $q$ in the equation $$\frac{39}{26} = \frac{42}{q}$$.
2. **Use the cross multiplication rule:** For two fractions equal to each other, $$\frac{a}{b} = \frac{c}{d}$$, cross multiply to get $$a \times d = b \times c$$.
3. **Apply cross multiplication:**
$$39 \times q = 26 \times 42$$
4. **Calculate the right side:**
$$26 \times 42 = 1092$$
5. **Rewrite the equation:**
$$39q = 1092$$
6. **Solve for $q$ by dividing both sides by 39:**
$$q = \frac{1092}{39}$$
7. **Simplify the fraction:**
$$q = \frac{\cancel{1092}}{\cancel{39}} = 28$$
8. **Final answer:**
$$q = 28$$