Finding the Third Proportional to 22,022 and 33,214

Step by Step Solution

1. Step 1: Write the proportion equation
   22,022 : 33,214 = 33,214 : x
2. Step 2: Convert to fraction form
   22,022/33,214 = 33,214/x
3. Step 3: Cross multiply
   22,022x = 33,214 × 33,214
4. Step 4: Simplify right side
   22,022x = 1,103,169,796
5. Step 5: Solve for x
   x = 1,103,169,796/22,022
6. Step 6: Final answer
   x = 50,093.99