Ramaswamy Prasanna was batting on 50 when he got injured while attempting a run, ramming into Bengal pacer Ashok Dinda.
Prasanna hit 11 boundaries and a six during his unbeaten 104-run knock and stitched 107 runs with Baba Aparajith (60) for fifth wicket.
Tamil Nadu had scored 230 in their first innings, thereby taking a 22-run lead over the hosts who were bowled out for 208 in their first innings.
Tamil Nadu entered the Ranji Trophy final for the 11th time by virtue of having taken the first-innings lead.
Ae Dil Hai Mushkil Stills: The Trailer is All About Love, Friendship, Heartbreak
In Photos: Asus Zenfone 3 Is a Good Mid-Budget Smartphone
In Photos: Triumph Daytona 675R Priced at Rs 12.14 Lakh (ex-showroom Delhi)
In Pictures: Riders Music Festival, a Celebration of Love for Superbikes and Music
Held Once Every 12 Years, Naropa Festival Witnesses Attendance Of Devotees, Monks And Tourists