Problem with second query

Hello:

I am having a problem and I am not sure my method is correct. I know my sub-query isn’t. What I need is to get the Max-Autonum, or last record for a specific record. Please see the example for a better understanding:

part_id_num part_manufac_code part_number
1 36 18547
2 36 57847
3 35 79811
4 36 57914
5 35 74992

If I am looking for part_manufac_code 36, then the last record (part_id_num) for that is 4. Here is the code that I have:
//
//
//
require(“connect.php”);
//
//
//
$query1 = “SELECT part_id_num, part_manufac_code, part_number FROM tblparts WHERE (part_manufac_code = ‘$frmfindpart’)”;
$result1 = mysql_query($query1) or die(mysql_error());
//
//
$query2 = “SELECT MAX(part_id_num) FROM ‘$result1’”;
$result2 = mysql_query($query2) or die(mysql_error());
if(mysql_num_rows($result2) > 0)
{
while($row = mysql_fetch_assoc($result2))
{
$names = $row[‘name’];
}
}
else
{
echo ‘query returned no results’;
}

SELECT part_id_num
     , part_manufac_code
     , part_number 
  FROM tblparts 
 WHERE part_manufac_code = '$frmfindpart'
ORDER
    BY part_id_num DESC LIMIT 1