PHP MySQL external database connection timed out

Question

I'm getting a connection timed out when I try to connect to an external (not on the same server as this code is on) database through the following code. I know the settings of the database is set up right, and the login info is good, 'cause I can login fine from my computer with HeidiSQL. If anyone can see a problem with this code, thanks.

function database_connect(){
$link = @mysql_connect("xx.xxx.xxx.xx:3306","root","pass"); 
$sql_error = mysql_error();

if (!$link) { 
    echo "Connection with the database couldn't be made.<br>";
    echo "$sql_error"; 
    exit;
}

if (!@mysql_select_db("databasename")) {
    echo "The database couldn't be selected.";
    exit;
}
return $link;
}
database_connect();

Answer 1

Problem known now.

My webhost does not allow connections to an external database.