sh - Unix-- get 3rd field sum from a file -

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i have file 5 fields 10 rows of data, want sum of 3rd fields in file.

sample:

a,b,1,4,5 c,d,3,4,6 f,h,4,y,j  o/p: 1+3+4= 8

my solution cut 3rd field using cut command , write file , using awk calculate sum.

is there alternative way?

i think need: 

awk -f, '{ sum += $3 } end {print sum}' filename

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