Two-thirds of the state legislatures, or 34, must approve an application for a convention to occur, according to the Constitutions article five. State legislatures would then send delegates to the convention, each state getting one vote on proposed amendments. For an amendment to pass and become a part of the Constitution, it would have to be approved by three-fourths, or 38, of the state legislatures.
Of course, two questions arise. How did you come across this document and where is the rest of it?
If the process seems drawn out, which it is, perhaps it is worthwhile to recall the two plus years between the Mount Vernon conference of 1785 and the Philly convention of 1787.
I suspect the time is necessary to see and feel how strong the grassroots support for an Article V amendment convention actually is. Pols don't like to get very far at all ahead of their constituents.
Turn up the heat!