How to echo one category name out of a parent/child relationship

Ok, my Blog uses a category structure like that:

Food
– Fruits
— Banana
— Apple
— Pineapple
– Icecram
— Vanilla
— Chocolate
— Hazelnut

Non-Food
– Paper
– Stones

and so on…

So if I write about a new Vanilla Icecream Creation it belongs to

Food-Icecream-Vanilla

and I only check the Vanilla Box during the post administration

Now, here’s my problem:

If I want to echo the category name inside the loop I use

<?php
foreach((get_the_category()) as $category) {
    echo $category->cat_name . ' ';
}
?>

But in another case I only want to show the second parent category

(Example: Icecream for the Food-Icecream-Vanilla Category Article)

Is there any way to do that… I tried a lot using get_category_parents but I’m not able to solve that problem…

Help please 🙂