To determine the color of the third band on a carbon resistor, we need to understand the color code system for resistors.$\\ \\$The color code for resistors is as follows:$\\$• Black: 0$\\$• Brown: 1$\\$• Red: 2$\\$• Orange: 3$\\$• Yellow: 4$\\$• Green: 5$\\$• Blue: 6$\\$• Violet: 7$\\$• Grey: 8$\\$• White: 9$\\ \\$The first two bands represent the first two significant digits of the resistance value,$\\$and the third band is the multiplier (power of ten).$\\ \\$Given: Resistance $= 22000 \pm 5\% \Omega \\ \\$The resistance value 22000 can be expressed as $22 \times 10^3 \Omega. \\ \\$• The first digit (2) corresponds to the color Red.$\\$• The second digit (2) also corresponds to the color Red.$\\$• The multiplier (10^3) corresponds to the color Orange.$\\ \\$Therefore, the color of the third band must be Orange.$\\ \\$This corresponds to Option 3.