Crossword Genius

Problem with a carrier missing out the last island (7)

Ross

I believe the answer is:

sumatra

I'm a little stuck... Click here to teach me more about this clue!

'last island' is the definition.
'sumatra' can be an answer for 'island' (Sumatra is an example). I'm not sure about the 'last' bit.

'problem with a carrier missing out the' is the wordplay.
'problem' becomes 'sum' (arithmetic problem).
'with a carrier missing' becomes 'ara' (I am not sure about this - if you are sure you should believe this answer much more).
'out' means one lot of letters goes inside another.
'the' becomes 't' (the is pronounced as a 't' sound in some dialects).
'ara' going around 't' is 'atra'.
'sum'+'atra'='SUMATRA'

Can you help me to learn more?

(Other definitions for sumatra that I've seen before include "part of Indonesia" , "Large Indonesian island" , "Island in western Indonesia" , "Eastern island" , "Large island of Indonesia" .)

I've seen this clue in The Times.
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