Given conditions:

1. A is taller than B $\rightarrow$ $A > B$
2. C is taller than A $\rightarrow$ $C > A > B$
3. D is taller than C $\rightarrow$ $D > C > A > B$
4. E is the tallest $\rightarrow$ $E > D > C > A > B$

Arranging in order from tallest to shortest: $E > D > C > A > B$

Since there are 5 people, the middle position is the 3rd one. The 3rd person in the order is C.