HTTPS with basic authentication in Header

Question

I'm trying to setup a forward proxy to access certain endpoints on Remote server which require https with basic authentication in header.

A(Application server) ---> Forward proxy (B) ----> Remote server(C)

i'm at B on which i have setup below Apache Virtual host in which i'm setting the headers to use basic authentication passing encoded value of user & pass configured on remote server.However,i want to include HTTPS in my request to C to ensure the headers are sent securely with encrption to remote server (C). I do Not want to use a separate Virtual host for HTTPS. Should i include a SSL Server certificate in my proxy configuration as given below with the basic authentication in header ?
How can i achieve this in Single virtual host ? I have limited knowledge on apache, so please help here.

I tried searching on the internet but did not find the required solution.

##### vHost 9099 is for basic auth with HTTPS #####
Listen *:9099
<VirtualHost *:9099>

        ServerName      myservername.com
        ServerAlias     myservername.com
        ServerAdmin     iamadmin@myservername.com
        DocumentRoot    /my/doc/root/
        SSLEngine on
        RewriteEngine On
        AllowEncodedSlashes NoDecode

        ProxyRequests On

        # SSL configuration

        SSLCertificateFile       /Path to cert.pem
        SSLCertificateKeyFile    /Path to private key
        SSLCACertificateFile     /Path to CA certs


        ##  Basic64  Encoded XXXX od user and passwd in header

         RequestHeader set Authorization "Basic XXXXX"


         ##  Endpoints accessed via https with basic authentication in header

         ProxyPass /api/api1/   https://30.30.115.22:11111/api/api1/
         ProxyPassReverse /api/api1/    https://30.30.115.22:11111/api/api1/


</VirtualHost>

Answer 1

Hope this would be helpful, it's a working code

<VirtualHost *:443>
    ServerAdmin <>
    DocumentRoot <>
    ServerName <>
    SSLEngine on
    SSLOptions +StrictRequire
    <Proxy *>
    Order deny,allow
    Allow from all
    </Proxy>

    SSLProxyEngine on
    ProxyPass / https://<>/
    ProxyPassReverse / https://<>/

    SSLCertificateFile .../cert.pem
    SSLCertificateKeyFile .../privkey.pem
    SSLCertificateChainFile .../chain.pem
</VirtualHost>