Explanation :
It is given that,
In the given figure all the three resistors are in series.
Current flowing in the circuit,
![I=3\ A](https://img.qammunity.org/2019/formulas/physics/high-school/cwux5dyftu552y26539emiihvfj2igx81e.png)
Voltage,
![V=30\ V](https://img.qammunity.org/2019/formulas/physics/high-school/er7mt7yczcrut2ey6llm4dztx8iy20zr2v.png)
We know that in series circuit the current flowing in all resistors is same.
Using Ohm's law, we get:
![V=IR](https://img.qammunity.org/2019/formulas/physics/college/d5tvvq65gl7etln86jh5pz7v91caixv37n.png)
![30\ V=3\ A(2\ \Omega+3\ \Omega+R_3)](https://img.qammunity.org/2019/formulas/physics/high-school/ia5h4183890ecremb6dhqpgjfkgsrlro6a.png)
![R_3=5\ \Omega](https://img.qammunity.org/2019/formulas/physics/high-school/2eglcavmzcb8ad2bq2akr0l1te6ky5u9n9.png)
Hence, this is the required solution.