Finding the Third Proportional to 9,834 and 13,830

Step by Step Solution

1. Step 1: Write the proportion equation
   9,834 : 13,830 = 13,830 : x
2. Step 2: Convert to fraction form
   9,834/13,830 = 13,830/x
3. Step 3: Cross multiply
   9,834x = 13,830 × 13,830
4. Step 4: Simplify right side
   9,834x = 191,268,900
5. Step 5: Solve for x
   x = 191,268,900/9,834
6. Step 6: Final answer
   x = 19,449.76