Finding the Third Proportional to 8,109 and 13,459.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,109 : 13,459.50 = 13,459.50 : x
2. Step 2: Convert to fraction form
   8,109/13,459.50 = 13,459.50/x
3. Step 3: Cross multiply
   8,109x = 13,459.50 × 13,459.50
4. Step 4: Simplify right side
   8,109x = 181,158,140.25
5. Step 5: Solve for x
   x = 181,158,140.25/8,109
6. Step 6: Final answer
   x = 22,340.38