Finding the Third Proportional to 11,133 and 14,791.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,133 : 14,791.50 = 14,791.50 : x
2. Step 2: Convert to fraction form
   11,133/14,791.50 = 14,791.50/x
3. Step 3: Cross multiply
   11,133x = 14,791.50 × 14,791.50
4. Step 4: Simplify right side
   11,133x = 218,788,472.25
5. Step 5: Solve for x
   x = 218,788,472.25/11,133
6. Step 6: Final answer
   x = 19,652.25