The provided sources consistently and unanimously describe a massive, record-breaking price rally for silver. High-authority sources like an international news outlet and a financial data provider confirm that silver experienced a 'blistering rally' to an all-time high of around $122 per ounce. This overwhelming evidence strongly supports the first part of the statement, that the price 'increased by more than 5%'; the described rally was of a far greater magnitude.While no source explicitly mentions the specific price point of '$81.72 per ounce', the confirmed peak price is substantially higher. It is a logical certainty that for the price to travel from a lower point to a peak of ~$122, it must have passed through the $81.72 mark. The statement does not claim this was the peak price, but rather a price that was reached during the surge. Given the context established by the highly credible sources, it is extremely plausible that $81.72 was a factual price point during the rally. The lack of direct confirmation for this specific number is the only element preventing a near-certain assessment, but the weight of the contextual evidence makes the statement very likely to be true.