Solution
vglycerine = Solve [ rho1 v1 d1/mu1 == rho2 v2 d2/mu2, v1 ]
data = { rho1 -> 1.26 gm/cm^3,
d2 -> 1.00 10^-2 cm,
v2 -> 0.200 cm/sec,
mu2 -> 1.00 10^-2 gm/(cm sec),
mu1 -> 23.3 gm/(cm sec),
d1 -> 5.00 cm,
rho2 -> 0.998 gm/cm^3}
vglycerine[[1,1,2]] /. data