Finding the Third Proportional to 11,109 and 18,517.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,109 : 18,517.50 = 18,517.50 : x
2. Step 2: Convert to fraction form
   11,109/18,517.50 = 18,517.50/x
3. Step 3: Cross multiply
   11,109x = 18,517.50 × 18,517.50
4. Step 4: Simplify right side
   11,109x = 342,897,806.25
5. Step 5: Solve for x
   x = 342,897,806.25/11,109
6. Step 6: Final answer
   x = 30,866.67