Before you do anything, you need to go on and get your hands on the materials to build the stand. You are going to need to get your hands on a wooden plank for the main back board, some buckets or other items that can be used as a base, some more wooden extenders to create legs with and lastly some cement.
Once you have all the materials, you need to get to work making the stand. Take the big plank, and position it so that you use it as your backboard to the dart board. Now attach two legs to the bottom, or three if you can, and position them so that the board can stand upright.
In order to get the stand to stay stiff, put each of the legs in a bucket and fill it with cement. This will ensure that it stays put and doesn't move about at all.
Once you have constructed everything, wait for the cement to dry. Once this happens, test the stability of the board by moving it around and seeing if it holds and stays still.
Now you can paint the stand and add graphics to it to make it really stand out and look rather good.
Once all of this is done, get your dart board and position and place it in the center of the stand. Now this way, when you do play darts, they won't damage your walls, or go flying into someones face.