What to do If you can't clean a place that you made dirty

What should you do If you cant' clean a place that you made unclean? If you for example step with your dirty shoes on a carpet or maybe put your dirty shoes on a chairseat but are unable to clean it because you can't enter that place anymore. I am scared that someone puts their hand or clothes on that place where I put my dirty shoe and that they get dirty and when they are going to pray their salah is unvalied because they touched dirt. What should I do I can't clean that place, should I make dua?