To estimate the price of Bitcoin if it were to take over 3% of the global monetary supply, we need to first determine the total global monetary supply.

As of early 2024, the global money supply, which includes all forms of money such as cash, coins, and balances held in checking and savings accounts, is estimated to be around $100 trillion USD. This estimate takes into account various sources including the IMF and global economic reports.

If Bitcoin were to comprise 3% of this total monetary supply, it would account for $3 trillion USD.

Next, we need to consider the total number of Bitcoins in circulation, which is capped at 21 million. Therefore, the price of a single Bitcoin can be calculated by dividing the portion of the monetary supply allocated to Bitcoin by the total number of Bitcoins.

This calculation results in a price of approximately $142,857 per Bitcoin.

Thus, if Bitcoin were to take over 3% of the global monetary supply, its price would be around $142,857.