Get a PrivateKey from a RSA .pem file [duplicate]

Question

Given this .pem file (generated with openssl and encrypted with a password):

-----BEGIN RSA PRIVATE KEY-----
Proc-Type: 4,ENCRYPTED
DEK-Info: DES-EDE3-CBC,AC009672952033EB

2wegzxf3MtncXS1CY3c.....
....
....
-----END RSA PRIVATE KEY-----

How do I get a PrivateKey object in Java? I wrote the following code but I cannot find the right way to get a KeySpec:

PrivateKey readFromPem(File keyFile, String password){
    PemReader r = new PemReader(new InputStreamReader(new FileInputStream(keyFile)));
    PemObject pemObject = r.readPemObject();
    byte[] encodedKey = pemObject.getContent();

    KeySpec keySpec = ???? // how to get this?

    KeyFactory keyFactory = KeyFactory.getInstance("RSA");
    PrivateKey key = keyFactory.generatePrivate(keySpec);
    return key;
}

I guess I should build a RSAPrivateKeySpec, but I don't know how. I tried the method from this answer and this other answer, but they both result in errors when parsing the byte array.