Finding the Third Proportional to 9,414 and 13,833

Step by Step Solution

1. Step 1: Write the proportion equation
   9,414 : 13,833 = 13,833 : x
2. Step 2: Convert to fraction form
   9,414/13,833 = 13,833/x
3. Step 3: Cross multiply
   9,414x = 13,833 × 13,833
4. Step 4: Simplify right side
   9,414x = 191,351,889
5. Step 5: Solve for x
   x = 191,351,889/9,414
6. Step 6: Final answer
   x = 20,326.31