Answer :
[tex]5\frac{2}{3}\ cups\ in\ 1\ day\\
x\ cups\ in\ 3\ days\\\\
proportion:\\
5\frac{2}{3}-1\\x-3\\\\
cross\ multiplication\\
5\frac{2}{3}*3=x\\\\
x=\frac{17}{3}*3\\\\
x=17\\\\
Corky\ eats\ 17\ cups\ in\ 3\ days.[/tex]