Finding the Third Proportional to 11,804 and 17,733.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,804 : 17,733.50 = 17,733.50 : x
2. Step 2: Convert to fraction form
   11,804/17,733.50 = 17,733.50/x
3. Step 3: Cross multiply
   11,804x = 17,733.50 × 17,733.50
4. Step 4: Simplify right side
   11,804x = 314,477,022.25
5. Step 5: Solve for x
   x = 314,477,022.25/11,804
6. Step 6: Final answer
   x = 26,641.56