Finding the Third Proportional to 9,834 and 13,905

Step by Step Solution

1. Step 1: Write the proportion equation
   9,834 : 13,905 = 13,905 : x
2. Step 2: Convert to fraction form
   9,834/13,905 = 13,905/x
3. Step 3: Cross multiply
   9,834x = 13,905 × 13,905
4. Step 4: Simplify right side
   9,834x = 193,349,025
5. Step 5: Solve for x
   x = 193,349,025/9,834
6. Step 6: Final answer
   x = 19,661.28