The thing is there are some people who do sweat more than others. It is not a sign of disease or skin problems. On the contrary it is good, it is just your body is regulating the body temperature this way. Yes unfortunately it could be rather embarrassing. You could wear sweat pads under your arms - but this will only result in you feeling rather uncomfortable. What I suggest is, you wear lose clothes and try to avoid excessively humid atmosphere. Why don't you visit this website - a lot of useful information is given on underarm sweating here.
curehyperhidrosiscenter.com/excessive-armpit-sweating.htm