Finding the Third Proportional to 11,006 and 13,227.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,006 : 13,227.50 = 13,227.50 : x
2. Step 2: Convert to fraction form
   11,006/13,227.50 = 13,227.50/x
3. Step 3: Cross multiply
   11,006x = 13,227.50 × 13,227.50
4. Step 4: Simplify right side
   11,006x = 174,966,756.25
5. Step 5: Solve for x
   x = 174,966,756.25/11,006
6. Step 6: Final answer
   x = 15,897.40