Finding the Third Proportional to 9,834 and 13,629

Step by Step Solution

1. Step 1: Write the proportion equation
   9,834 : 13,629 = 13,629 : x
2. Step 2: Convert to fraction form
   9,834/13,629 = 13,629/x
3. Step 3: Cross multiply
   9,834x = 13,629 × 13,629
4. Step 4: Simplify right side
   9,834x = 185,749,641
5. Step 5: Solve for x
   x = 185,749,641/9,834
6. Step 6: Final answer
   x = 18,888.51