Proprietorship firm and pvt. ltd. is running same premises

Sir,

One person is holding a proprietorship firm and a director of pvt. ltd. company. Both the firms are having same type of business and doing operations from the pvt. ltd. company. There is no agreement between both the firm that he can use the pvt. ltd. company's resource.

Can it be possible ? What are the steps to be taken by the other director of the pvt. ltd. comany.

I waiting your reply.

Thanks