Finding the Third Proportional to 22,189 and 33,514.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,189 : 33,514.50 = 33,514.50 : x
2. Step 2: Convert to fraction form
   22,189/33,514.50 = 33,514.50/x
3. Step 3: Cross multiply
   22,189x = 33,514.50 × 33,514.50
4. Step 4: Simplify right side
   22,189x = 1,123,221,710.25
5. Step 5: Solve for x
   x = 1,123,221,710.25/22,189
6. Step 6: Final answer
   x = 50,620.65