Find a point charge a distance form a charged rod

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Homework Statement



See image

Homework Equations



KQ/r^2

The Attempt at a Solution



I have seen several different ways of working this problem, but they have all failed on me.

I tried this using the equation above from my book

E = (8.99x10^9)(1036 C)/(4x10^-6m)

E= 2.328x10^18 N/C

I also tried using

E = K*Q/sqrt(r^2+(L/2)^2)
E = 1.86x10^11 N/CThis was not correct. Please help. Thanks in advance!
 

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Thanks! The answer is 5.3x10^13N/C