Share custom offers to a client

I got a message from the person (freelance production coordinator) who was wanting to book for their client. They had asked if there is a way to send the offer to their client or loop them into the conversation and have them proceed with company payment.

In the past when I have rented I forwarded the email to my client with the custom offer for their reviews. Once approved they lent me a CC for payment.

I was wondering if there was a more direct way to send this to their client and have them review and pay or if they would have to message me for the same dates and then I would have to send a custom offer to their profile. Please let me know so I can respond to the inquiry.