having trouble finding the input element in the next td. I need to get place a value into the td class of tblCashSum's textbox.
However, if I do the following:
alert(formElement.nextAll('td.tblCashSum').find('input.cashSum').val());
It reads undefined.
HTML:
<tr>
    <td class='tblCashType'>100</td>
    <td class='tblCashAmount'><asp:TextBox class="inputBox" ID="noteAmount100" runat="server"></asp:TextBox></td>
    <td class='tblCashSum'><asp:TextBox class="inputBoxDisabled cashSum" ReadOnly="true" runat="server" ID="cashSum100"></asp:TextBox></td>
</tr>
Jquery:
$("noteAmount").blur(function(){
 calc($(this));
});
function calc(formElement)
{
    a = formElement.val();
    b = formElement.closest('td').siblings('td.tblCashType').text();
    x = a * b;
    formElement.nextAll('td.tblCashSum').find('input.cashSum').val(x);
}
                You are passing a string which is the value of the input element, you should first pass the object instead, note that you have missed the # for the ID selector.
$("#noteAmount").blur(function(){
     calc($(this));
});
Then you can use parent and next methods:
function calc($formElement) {
    a = parseInt($formElement.val(), 10);
    b = parseInt($formElement.closest('td').siblings('td.tblCashType').text(), 10);
    x = a * b;
    $formElement.parent().next().find('input.cashSum').val(x);
}
Please note that if your elements have ID attributes you can select them directly which is faster than traversing the DOM.
I can't find an element with ID of noteAmount in your markup, if you have multiple elements with the same IDs your markup becomes invalid and you will get unexpected results , you can also try the following:
$('.inputBox').blur(function(){
    a = this.value
    $this = $(this);
    b = $this.parent().prev().text();
    x = parseInt(a, 10) * parseInt(b, 10);
    $this.parent().next().find('input.cashSum').val(x);
});
                        You need to use .next() on the .parent()  of input
Try formElement.closest('td').next('td.tblCashSum')
OR
formElement.parent().next('td.tblCashSum')
//
Also $("noteAmount") does not make any sense ... 
Supposed to be  $('[id*="noteAmount"]')
$('[id*="noteAmount"]').blur(function(){
 calc($(this));
});
function calc(formElement)
{
    a = formElement.val();
    b = formElement.closest('td').siblings('td.tblCashType').text();
    x = a * b;
    formElement.closest('td').next('td.tblCashSum').find('input.cashSum').val(x);
}
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