Finding the Third Proportional to 11,097 and 16,321.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,097 : 16,321.50 = 16,321.50 : x
2. Step 2: Convert to fraction form
   11,097/16,321.50 = 16,321.50/x
3. Step 3: Cross multiply
   11,097x = 16,321.50 × 16,321.50
4. Step 4: Simplify right side
   11,097x = 266,391,362.25
5. Step 5: Solve for x
   x = 266,391,362.25/11,097
6. Step 6: Final answer
   x = 24,005.71