Finding the Third Proportional to 10,033 and 21,836

Step by Step Solution

1. Step 1: Write the proportion equation
   10,033 : 21,836 = 21,836 : x
2. Step 2: Convert to fraction form
   10,033/21,836 = 21,836/x
3. Step 3: Cross multiply
   10,033x = 21,836 × 21,836
4. Step 4: Simplify right side
   10,033x = 476,810,896
5. Step 5: Solve for x
   x = 476,810,896/10,033
6. Step 6: Final answer
   x = 47,524.26