The data table shown below gives the length$/$load data for an $8630$ steel. The starting diameter

of the bar is $12\mathrm{.}6.$ Determine the modulus of the steel in GPA. Report your answer to the nearest

whole number.

Length,

mm Force, N

$48\mathrm{.}0000,0\mathrm{.}000E+00$

$48\mathrm{.}0240,8\mathrm{.}590E+03$

$48\mathrm{.}0480,1\mathrm{.}718E+04$

$48\mathrm{.}0720,2\mathrm{.}577E+04$

$48\mathrm{.}0960,3\mathrm{.}436E+04$

$48\mathrm{.}1200,4\mathrm{.}295E+04$

$48\mathrm{.}1440,5\mathrm{.}154E+04$

$48\mathrm{.}1728,5\mathrm{.}890E+04$

$48\mathrm{.}22086\mathrm{.}381$E$+04$

$48\mathrm{.}28326\mathrm{.}750$E$+04$

$48\mathrm{.}96007\mathrm{.}240$E$+04$

$49\mathrm{.}9200,7\mathrm{.}486E+04$

$51\mathrm{.}8400,7\mathrm{.}609E+04$

$52\mathrm{.}8000,7\mathrm{.}486E+04$

$53\mathrm{.}7600,7\mathrm{.}363E+04$

$55\mathrm{.}7760,6\mathrm{.}995E+04$

$138$