Finding the Third Proportional to 10,809 and 16,291.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,809 : 16,291.50 = 16,291.50 : x
2. Step 2: Convert to fraction form
   10,809/16,291.50 = 16,291.50/x
3. Step 3: Cross multiply
   10,809x = 16,291.50 × 16,291.50
4. Step 4: Simplify right side
   10,809x = 265,412,972.25
5. Step 5: Solve for x
   x = 265,412,972.25/10,809
6. Step 6: Final answer
   x = 24,554.81