Java Development Tools

I have been trying to figure out why my JAVA application works fine on some machines but not on others when the program tries to connect to an ACCESS database. I have read up on the different drivers that appear if you bring up the 32 bit list using c:\Windows\SysWOW64\odbcad32.exe versus the 64 bit list from the control panel.
On a machine that has the problem, I get this error message when trying to connect:
Data source name not found and no default driver specified
The code is using this connection string: jdbc:odbc:Driver={Microsoft Access Driver (*.mdb)};DBQ=C:\DataBases\ Traing3.mdb;
If I go to the 32 bit drivers and create a DSN and then use this connection string: jdbc:odbc:MyDSNdb, I get the following error:
The specified DSN contains an architecture mismatch between the Driver and the Application

What I have found is the machines that do not work have a 64 bit JRE installed and the ones that work have a 32 bit JRE. I have taken an non-working machine, uninstalled the 64 bit JRE and replaced it with the 32 bit JRE and the program runs fine using both connection strings listed above.

My questions is: What do I need to do in order to make the application run which has a 64 bit JRE? I would also like to add, that these machines typically are running 32 bit MS Office bundles.