BuddyPress.org

You have identified the correct code location:

Assuming your field names are City and State, try:

bp_member_profile_data( 'field=City' );
bp_member_profile_data( 'field=State' );

If you need to do some formatting or add text or check for empty fields, use:

$city = bp_get_member_profile_data( 'field=City' );
echo $city;