Basically the apk is the android software, the Google Play store filters out Adobe flash because you are running Android 4.1 jelly bean which explains why you cannot find it in the Google Play store.
When you install the apk, it will still work because Adobe have only stopped support for it, they haven't disabled it or blocked it. The term 'support it' means to give the product updates and provide help for users. Adobe are no longer providing updates (apart from security updates) and help to users for Adobe flash on android.
Sent from my Full Android on Wingray using xda premium
- Phone: HTC One X 32GB Unlocked (SH27********) ROM: ViperX 184.108.40.206 (Sense 4+)
- Tablet: Motorola Xoom with Wifi 32GB ROM/Kernel: Team EOS (EOS 3 Latest Nightly)
- Computer: Custom built. UEFI. AMD Phenom II x4 965, 120GB Sandisk SSD, 1TB HDD, 8GB Corsair Vengeance DDR3 1600MHZ RAM. Asus M5A99X-EVO-R2 Motherboard. Windows 7 Home Premium.
- Laptop: Toshiba L30-10X Intel Celeron M 440 1GB RAM 80GB HDD (I know, its old)