You can do this by hiding and showing the other select
depending on the value that is chosen (unless you want to populate the results dynamically after clicking option 3 in which case you will have to be more specific)
HTML
<select id="select1">
<option>Choose One</option>
<option value="1">Val 1</option>
<option value="2">Val 2</option>
<option value="3">Val 3</option>
</select>
<select id="select2">
<option>Choose Two</option>
<option value="1">Val 1</option>
<option value="2">Val 2</option>
<option value="3">Val 3</option>
</select>
CSS
#select2{
display: none;
}
JS
$("#select1").change(function(){
if($(this).val() == 3){
$("#select2").show();
}else{
$("#select2").hide();
}
});
FIDDLE