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a b
---- = ------- = K
b c
donde a y c son los extremos
a+c=90
a-c=54
a=54+c
remplazando::
a+c=90
c+54+c=90
2c=36
c=18
a=72
la media proporcional es b
b^2=ac
b^2=(72)(18)
b=36
espero haberte ayudado