You can add a third DNS server by using esxcli. Enable SSH on the host and connect to it. Then use the command:
esxcli network ip dns server list
To show your current DNS servers
esxcli network ip dns server add --server=<ip>
To add a third DNS server.
Then check the current DNS servers again by using the first esxcli command. Example:
DNSServers: 172.20.31.10, 192.168.1.1, 192.168.1.2