The true meaning of the song is really making your parents proud.
That they shouldn't be worried about you anymore 'cause you can handle yourself already. You are already learning to spread your own wings and like telling your parents:
"Mom, Dad... I am so grateful that you are my parents. Thank you for everything you have taught me. Don't worry, I'll be alright, I'll be ok. I love you so much. You'll see I won't disappoint you, of what will I accomplish I'll make you both proud." c",)