User-1330468790 posted
Hi dlchase,
You could set the "_visibleDate" for the second calendar so that it will automatically show the month dates including the visible date.
More details, you could refer to below codes:
<body>
<script>
function ApplyStartMonth(sender, args) {
var calendarStart = $find('CalendarExtender3');
sender.set_visibleDate(calendarStart._selectedDate);
// the following is not needed here but good to know that they exist
//sender.set_todaysDate(calendarStart._selectedDate);
//sender.set_selectedDate(calendarStart._selectedDate);
}
</script>
<form id="form1" runat="server">
<asp:ScriptManager ID="ScriptManager1" runat="server"></asp:ScriptManager>
<div>
<asp:TextBox ID="txtTimeOffDate" runat="server" Width="72" ClientIDMode="Static" />
<ajaxToolkit:CalendarExtender ID="CalendarExtender3" runat="server" TargetControlID="txtTimeOffDate" ></ajaxToolkit:CalendarExtender>
<asp:RequiredFieldValidator ID="RequiredFieldValidator1" runat="server"
ErrorMessage="Time off Date is required." Display="Dynamic"
ControlToValidate="txtTimeOffDate">
</asp:RequiredFieldValidator>
<asp:TextBox ID="txtTimeOffDateTo" runat="server" Width="72" ClientIDMode="Static" />
<ajaxToolkit:CalendarExtender ID="CalendarExtender4" runat="server" OnClientShown="ApplyStartMonth" TargetControlID="txtTimeOffDateTo"></ajaxToolkit:CalendarExtender>
</div>
</form>
Demo:

I referred to this post on SO: selecting particular month as default in calendar extender
Best regards,
Sean