I could have approached this the wrong way, but this is the way I approached it:

Total number of ways w/out restriction: 5! = 120
Total number of ways w/ restriction (Take the shortest and tallest as 1 unit) = 4! = 24

However remember that you could have shortest standing first and tallest second or tallest first and shortest second, as a result total number of ways w/ restriction needs to be multiplied by 2 = 48

Thus 120 - 48 = 72