As usual, platform languages win.
C++ was born at Bell Labs and quickly integrated into their workflows as C with Classes started to get adopters.
This raised the interest of the C compiler vendors, so by the early 90's, all major C compiler vendors were bundling a C++ compiler with them.
Additionally, Bjarne got convinced that C++ should follow the same path as C and be managed by ISO, so the C++ARM book was written, which is basically the first non-official standard of the language.
So C++ had ISO, the same birthplace as C and love of C compiler vendors, while Objective-C was initial a work from a small company and later on owned by NeXT.
So, naturally Apple, Microsoft, IBM decided to go with C++, and everyone else followed.
Here is an anecdote for Apple fans, Mac OS was written in Object Pascal + Assembly, when market pressure came adopt C and C++, the MPW was born and eventually a C++ framework that mimic the Object Pascal one (there is a longer story here though, ending with PowerPlant framework).
Copland was based on a C++ framework, and Dylan team eventually lost the internal competition to the C++ team regarding the Newton OS.
Apple was one of the major OS vendors that never cared much about C for OS development, only the NeXT acquisition ended changing it. And even then they weren't sure about C and Objective-C, hence the Java Bridge during the first versions.