Cloud computing has become essential to various application services, requiring robust data center networks (DCNs) to support its infrastructure. This paper explores the establishment of a three-party proprietary communication channel and its related applications in a highly scalable data center network (HSDC). This novel research topic involves third-party authentication (TPA) in cloud applications. With the increasing demand for secure and reliable communication, we investigate the implementation of internally disjoint 3-Steiner paths (ID-3SPs), which facilitate message transmission with the involvement of a trusted third party. By explicitly constructing ID-3SPs and developing a definitive algorithm, we incorporate 3-path connectivity with TPA-related applications to enhance transmission efficiency caused by multi-paths while ensuring fault tolerance in the event of network component failures. Extensive experiments conducted in HSDC have shown that our findings significantly improve the reliability and efficiency of communication in DCNs, demonstrating their potential for practical applications that will benefit diverse fields, ranging from e-commerce to supply chains.