I can not to forward exceptions from my proxy class

I have an interface:

public interface ThirdPartySystemCaller {
    void sendRequest(String request) throws ThirdPartySystemException;
}

And implementation:

@Slf4j
@Service
public class ThirdPartySystemCallerImpl implements ThirdPartySystemCaller {

    @Override
    public void sendRequest(String request) throws ThirdPartySystemException {

        if (request == null) throw new ThirdPartySystemException();

        log.info("send: {}", request);
    }
}

And I have a CryptoService witch can sign request:

public interface CryptoService {
    String signRequest(String request) throws CryptoException;
}

And It implementation:

@Slf4j
@Service
public class CryptoServiceImpl implements CryptoService {

    @Override
    public String signRequest(String request) throws CryptoException {
        if (request.length() > 100) throw new CryptoException(); //just for example
        return "signed " + request;
    }
}

Now, I can use these services:

String signedRequest = cryptoService.signRequest("Hello"); 
thirdPartySystemCaller.sendRequest(signedRequest); 

But I need to call both services each time. I want to create Proxy:

@Slf4j
@Service
public class ThirdPartySystemCallerSignedProxy implements ThirdPartySystemCaller {

    private final ThirdPartySystemCaller thirdPartySystemCaller;
    private final CryptoService cryptoService;

    public ThirdPartySystemCallerSignedProxy(ThirdPartySystemCaller thirdPartySystemCaller, CryptoService cryptoService) {
        this.thirdPartySystemCaller = thirdPartySystemCaller;
        this.cryptoService = cryptoService;
    }

    @Override
    public void sendRequest(String request) throws ThirdPartySystemException {
        String signedRequest = cryptoService.signRequest(request);
        thirdPartySystemCaller.sendRequest(signedRequest);
    }
}

But my ThirdPartySystemCallerSignedProxy implement ThirdPartySystemCaller interface and sendRequest method throw only ThirdPartySystemException. But if cryptoService throw CryptoException I need throw it too.

How can I do it?

I was thinking to make unchecked exceptions, But I need to be checked.