Finding the Third Proportional to 9,767 and 12,832

Step by Step Solution

1. Step 1: Write the proportion equation
   9,767 : 12,832 = 12,832 : x
2. Step 2: Convert to fraction form
   9,767/12,832 = 12,832/x
3. Step 3: Cross multiply
   9,767x = 12,832 × 12,832
4. Step 4: Simplify right side
   9,767x = 164,660,224
5. Step 5: Solve for x
   x = 164,660,224/9,767
6. Step 6: Final answer
   x = 16,858.83