  The $^3$He$(e,e^\prime p)$$d$ reaction is studied using an accurate
three-nucleon bound state wave function, a model for the electromagnetic
current operator including one- and two-body terms, and the Glauber
approximation for the treatment of final state interactions. In contrast to
earlier studies, the profile operator in the Glauber expansion is derived from
a nucleon-nucleon scattering amplitude, which retains its full spin and isospin
dependence and is consistent with phase-shift analyses of two-nucleon
scattering data. The amplitude is boosted from the center-of-mass frame, where
parameterizations for it are available, to the frame where rescattering occurs.
Exact Monte Carlo methods are used to evaluate the relevant matrix elements of
the electromagnetic current operator. The predicted cross section is found to
be in quantitative agreement with the experimental data for values of the
missing momentum $p_{\rm m}$ in the range (0--700) MeV/c, but underestimates
the data at $p_{\rm m} \simeq 1$ GeV/c by about a factor of two. However, the
longitudinal-transverse asymmetry, measured up to $p_{\rm m} \simeq$ 600 MeV/c,
is well reproduced by theory. A critical comparison is carried out between the
results obtained in the present work and those of earlier studies.
