Finding the Third Proportional to 9,831 and 12,766.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,831 : 12,766.50 = 12,766.50 : x
2. Step 2: Convert to fraction form
   9,831/12,766.50 = 12,766.50/x
3. Step 3: Cross multiply
   9,831x = 12,766.50 × 12,766.50
4. Step 4: Simplify right side
   9,831x = 162,983,522.25
5. Step 5: Solve for x
   x = 162,983,522.25/9,831
6. Step 6: Final answer
   x = 16,578.53