Finding the Third Proportional to 10,827 and 12,231

Step by Step Solution

1. Step 1: Write the proportion equation
   10,827 : 12,231 = 12,231 : x
2. Step 2: Convert to fraction form
   10,827/12,231 = 12,231/x
3. Step 3: Cross multiply
   10,827x = 12,231 × 12,231
4. Step 4: Simplify right side
   10,827x = 149,597,361
5. Step 5: Solve for x
   x = 149,597,361/10,827
6. Step 6: Final answer
   x = 13,817.06