Removing old email addresses

I have an old Outlook account under "live.com"  which I want to erase.  I do not have my old password.  How do I access this account?  It is somehow linked to another email address which I use as my primary personal email.  That email account was hacked/compromised, and mail was being forwarded to that account which I no longer use.  I want to access that account so I can remove it.  Any help is appreciated.