Cut off the base of a 2-liter plastic soda bottle with a utility knife. Slice around the bottle approximately 3 inches from the base. Set the bottle aside until later.
Fill a 4-inch planting container with perlite. Set the filled container into a bucket of water to soak for 10 to 15 minutes. Remove the planting container, and let it drain.
Cut the Christmas cactus stem into a manageable size. Cut it in two to five segments. Make the cuts at the joints with a utility knife.
Let the stem segment dry out for three to five days, or until the cut ends appear whitish in color and dry to the touch.
Insert the bottom inch of the stem cutting into the moistened rooting medium. Press the medium firmly around the stem.
Set the potted stem cutting on a ledge or windowsill with very bright, indirect sunlight. Choose a windowsill where temperatures stay above 65 degrees Fahrenheit at night.
Set the modified plastic soda bottle, created in Step 1, over the top of the potted Christmas cactus cutting to act as a propagation dome. Remove the lid to increase air circulation.
Check for roots in three to four weeks. Tug on the base of the stem to feel if it is attached to the perlite by roots, or gently dig around the base to see if roots are visible.
Transplant the rooted stem cutting into a 6-inch planting container filled with succulent potting mix or a homemade mixture of 1 part coarse sand, 1 part perlite, and 2 parts potting soil.