"proceeding chapter" is a correct phrase and can be used in written English.
Example: "The proceeding chapter will focus on the rise of technology in the 21st century."
"Can anyone remember life before 'Ask Your Doctor' ads?" This question opens Martha Rosenberg's Born with a Junk Food Deficiency: How Flaks, Quacks, and Hacks Pimp the Public Health, and hangs over the proceeding chapters.
He proceeds, chapter by chapter, through what he's learned from authors from Chekhov to Welty.
Again, he normally proceeded chapter by chapter through Aristotle's text, keeping "literal" comments on philological questions and obscure phrases separate from notae on literary, doctrinal, or methodological issues raised in the work.
The Secretary [of Transportation] shall complete a rulemaking proceeding under chapter 301 of title 49, United States Code, to establish a standard designed to enhance passenger motor vehicle occupant protection, in all seating positions, in side impact crashes.
The Amendment was adopted in accordance with Section 303 of the General Corporation Law of the State of Delaware and under an order by the Bankruptcy Court in connection with the Company's proceeding under Chapter 11 of the Bankruptcy Code.
By proceeding through chapters that offer cumulatively wider views as well as stand-alone analyses of topics most crucial to understanding Piers Plowman, this Companion gives serious students and seasoned scholars alike up-to-date knowledge of this intricate and beautiful poem.
For now, let's proceed to Chapter 2: Notes.
All such readers would be well advised to take a deep breath and count to 10; after that they should proceed to chapter seven, where they will find that Grayling has anticipated all their arguments (save the most bone-headed).
"It appears imminent the governor will grant the emergency manager the unconditional power to proceed under chapter 9, and the emergency manager will seek to have the city's pension debts impaired unless the retirement systems and their participants accept the emergency manager's unilateral imposition of significant impairments to their accrued financial benefits," the lawsuit says.
(Acronyms are frequently used, and there is no glossary. Note carefully as you proceed). This chapter is an excellent example of questioning the position of hip hop as inherently oppositional, and Baker alludes to such on page 102.
