2 stops in China, is this allowed?

Hello, I have booked a flight from Bangkok to Guangzhou, arriving at 11pm on dec 17th... Than I have booked a SEPARATE flight home to Canada (passport holder) for 8am dec 18th, but it has a 3 hour layover in Beijing.. All of which is under 24 hours (from arrival in GZ to departure in PEK) ... will I have any problems arriving in Beijing and getting on my transfer flight home if I do not leave either of the airports? *I do not meet the requirements for a 72hr visa free stay due to me not leaving directly from GZ*

your help is greatly appreciated,