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if solar noon is 12:24, you need an angle 90degrees from that, at 15 deg per hour = 90/15 = 6hrs. 12:24-6 = 6:24. or add 6 to give 18:24.
Due to the problems of twilight i would be using a long stick to mark the solar non point - then use a builders protractor to measure a 90 deg angle form this
Lastly r u in Sydney? solar noon is measured from the east coast (sydney Obs i think)- if you're west of this you need to make a small longitude adjustment - write back where you are if you want me to do this
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