Find the values of $c$ and $d$ that make the function $$f(x)=\left\lbrace \begin{array}{cl} 3 x &\mbox{if } x<1\\ cx^2+d &\mbox{if } 1\le x <2\\ 5 x &\mbox{if } x\ge 2\\ \end{array}\right.$$ continuous.
$c =$
$d =$