Finding the Third Proportional to 9,834 and 12,627

Step by Step Solution

1. Step 1: Write the proportion equation
   9,834 : 12,627 = 12,627 : x
2. Step 2: Convert to fraction form
   9,834/12,627 = 12,627/x
3. Step 3: Cross multiply
   9,834x = 12,627 × 12,627
4. Step 4: Simplify right side
   9,834x = 159,441,129
5. Step 5: Solve for x
   x = 159,441,129/9,834
6. Step 6: Final answer
   x = 16,213.25