Finding the Third Proportional to 6,322 and 13,833

Step by Step Solution

1. Step 1: Write the proportion equation
   6,322 : 13,833 = 13,833 : x
2. Step 2: Convert to fraction form
   6,322/13,833 = 13,833/x
3. Step 3: Cross multiply
   6,322x = 13,833 × 13,833
4. Step 4: Simplify right side
   6,322x = 191,351,889
5. Step 5: Solve for x
   x = 191,351,889/6,322
6. Step 6: Final answer
   x = 30,267.62