Finding the Third Proportional to 9,836 and 12,766

Step by Step Solution

1. Step 1: Write the proportion equation
   9,836 : 12,766 = 12,766 : x
2. Step 2: Convert to fraction form
   9,836/12,766 = 12,766/x
3. Step 3: Cross multiply
   9,836x = 12,766 × 12,766
4. Step 4: Simplify right side
   9,836x = 162,970,756
5. Step 5: Solve for x
   x = 162,970,756/9,836
6. Step 6: Final answer
   x = 16,568.80