The other application, I assume has an API Endpoint?
Lets state that the API endpoint you are trying to call in the other app is:
POST /v1/helloworld
From your Quarkus Application, you will have to do the following:
- Register a RestClient *As a Service
- Specify the Service information in your configuration properties
- Inject and use this Service
--- In your current Application ---
Pay close attention to the package name.  IT has to match exactly in your application.properties file.
HelloWorldService.java
package com.helloworld.services
@Path("/v1")
@RegisterRestClient
public interface HelloWorldService{
    @POST
    @Path("/helloworld")
    Response callHeloWorld(HelloWorldPojo payloadToSend);
}
//Notice that we are not including the /v1 in the mp-rest/url, why? Because it is included in the @RestClient path.
Update your application.properties to include the following:
com.helloworld.services.HelloWorldService/mp-rest/url=https://yourOtherApplication.com/API 
--- Your HelloWorldPojo which you will send as payload
HelloWorldProjo.java
@JsonPropertyOrder({"id", "name"})
public class HelloWorldProjo{
  private long id;
  private String name;
  //Setters
  //Getters
}
In another service where you actually want to use this:
ServiceWhichCallsYourOtherAPI.java
@RequestScoped
public class ServiceWhichCallsYourOtherAPI{
    @Inject
    @RestClient
    HelloWorldService helloWorldService;
    public void methodA(){
         HelloWorldPojo payloadToSend = new HelloWorldPojo();
         payloadToSend.setId(123);
         payloadToSend.setName("whee");
         helloWorldService.callHelloWorld(payloadToSend);
   } 
}
The POST request will then go to https://yourOtherApplication.com/API/v1/helloworld
The json will look like:
{
  "id":123,
  "name":"whee"
}
Really great read: https://quarkus.io/guides/rest-client