You can write a search which gets all the data from the index which you are interested in and output it to csv on the search head [schedule this as per your need] and then have batch job process [moveIT or custom shell script] to pick up the file from the search which can move it to a location where other application team can read from.
Also it might help if you list down what you mean by Thirdparty. If you wan to export it to Hadoop splunk has hadoop connect app which can do this for you, so listing down the third party might help.
Here are some links which were slightly helpful when I had to do the same
1) What, exactly, do you mean by "forward"?