I am trying hard - and failing - to find a context in which I would translate "another" as "další", i.e. exchange " another" and "next". As I understand the words "another" and "next" (jiný and další), the latter one means "following in the sequence" while the first one implies more random choice. Try to think of "another person" and of "the next person". In the first case you randomly pick one from the crowd, in the second you think of a queue...
At least "additional" is listed in the dictionary for another https://www.merriam-webster.com/dictionary/another That is certainly possible for další.