Finding the Third Proportional to 9,796 and 21,833

Step by Step Solution

1. Step 1: Write the proportion equation
   9,796 : 21,833 = 21,833 : x
2. Step 2: Convert to fraction form
   9,796/21,833 = 21,833/x
3. Step 3: Cross multiply
   9,796x = 21,833 × 21,833
4. Step 4: Simplify right side
   9,796x = 476,679,889
5. Step 5: Solve for x
   x = 476,679,889/9,796
6. Step 6: Final answer
   x = 48,660.67