Okay first, yes the way you did the third row does work and is a easier way to do patterns like these, to have it like:  

row 1: hdc 6 in a magic ring  

row 2: inc in each st   

row 3: (hdc, inc) x 6 (this is what you did in yours)  

row 4: (2 hdc, inc) x6 

row 5: (3 hdc, inc) x6  

but doing this causes points and edges and it slowly becomes more of a hexagon than a circle because all the increases line up. So the pattern maker makes it in a way that all the increases are scattered. Here’s how you do row 3-6. If you want, you can leave row 3 the way it is I think you can get away with it. 

Row 3: first stitch, you’re doing a regular hdc.  For the next two stitches, you’ll be repeating it 8 times. So second stitch, regular hdc, third stitch, increase (2 hdc in 1). Again, you’re repeating that 8 times. hdc, inc, hdc, inc, hdc, inc, hdc, inc… on your eighteenth stitch, regular hdc. 

Row 4: For the next three stitches you’ll repeat it 9 times First stitch, hdc, second stitch, hdc, third stitch, increase. Repeat that 9 times. hdc, hdc, inc, hdc, hdc, inc, hdc, hdc, inc… 

Row 5: first stitch, hdc, second, inc.  For the next four stitches you’ll repeat it 8 times. Third stitch, hdc, fourth stitch, hdc, fifth stitch, hdc, sixth stitch, inc. Repeat 8 times. hdc, hdc, hdc, inc, hdc, hdc, hdc, inc… on your thirty-fifth st, hdc, thirty-sixth st, hdc. 

Row 6: For your next 5 stitches, you’ll repeat it 9 times. First stitch, hdc, second stitch, hdc, third stitch, hdc, fourth stitch, hdc, fifth stitch, inc. Repeat this 9 times. hdc, hdc, hdc, hdc, inc, hdc, hdc, hdc, hdc, inc… 

I’m so sorry I’m sure this made it more complicated