Finding the Third Proportional to 11,664 and 18,550.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,664 : 18,550.50 = 18,550.50 : x
2. Step 2: Convert to fraction form
   11,664/18,550.50 = 18,550.50/x
3. Step 3: Cross multiply
   11,664x = 18,550.50 × 18,550.50
4. Step 4: Simplify right side
   11,664x = 344,121,050.25
5. Step 5: Solve for x
   x = 344,121,050.25/11,664
6. Step 6: Final answer
   x = 29,502.83