Hello,
We apologize for the issue you are facing with updating the Rank Math SEO PRO plugin. The error message you are encountering, PCLZIP_ERR_BAD_FORMAT (-10) : Unable to find End of Central Dir Record signature
, typically indicates that there is a problem with the downloaded zip file, which may be corrupted or incomplete.
Here are a few steps you can take to resolve this issue:
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Download the Plugin Manually: Go to your Rank Math account area and download the latest version of Rank Math PRO manually.

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Upload the Plugin Manually: After downloading, navigate to your WordPress dashboard, go to Plugins → Add New, and click on Upload Plugin. Select the downloaded zip file and click on Install Now.

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Replace Current Version: If prompted, choose to replace the current version of the plugin with the uploaded one.

If you continue to experience issues after trying these steps, please reply to this ticket, and a human agent from the Rank Math Support team will assist you further. Thank you for raising this concern!
Sources:
How to Update Rank Math Manually » Rank Math
How to Upgrade to Rank Math PRO » Rank Math
Hello,
We are glad that helped.
Can you please confirm if you still need our assistance with anything else or we can close the ticket?
Looking forward to hearing back from you.
Thank you.
Hello,
Since we did not hear back from you for 15 days, we are assuming that you found the solution. We are closing this support ticket.
If you still need assistance or any other help, please feel free to open a new support ticket, and we will be more than happy to assist.
Thank you.