Finding the Third Proportional to 10,781 and 16,459.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,781 : 16,459.50 = 16,459.50 : x
2. Step 2: Convert to fraction form
   10,781/16,459.50 = 16,459.50/x
3. Step 3: Cross multiply
   10,781x = 16,459.50 × 16,459.50
4. Step 4: Simplify right side
   10,781x = 270,915,140.25
5. Step 5: Solve for x
   x = 270,915,140.25/10,781
6. Step 6: Final answer
   x = 25,128.94