Finding the Third Proportional to 22,189 and 33,514

Step by Step Solution

1. Step 1: Write the proportion equation
   22,189 : 33,514 = 33,514 : x
2. Step 2: Convert to fraction form
   22,189/33,514 = 33,514/x
3. Step 3: Cross multiply
   22,189x = 33,514 × 33,514
4. Step 4: Simplify right side
   22,189x = 1,123,188,196
5. Step 5: Solve for x
   x = 1,123,188,196/22,189
6. Step 6: Final answer
   x = 50,619.14