Finding the Third Proportional to 22,500 and 33,564

Step by Step Solution

1. Step 1: Write the proportion equation
   22,500 : 33,564 = 33,564 : x
2. Step 2: Convert to fraction form
   22,500/33,564 = 33,564/x
3. Step 3: Cross multiply
   22,500x = 33,564 × 33,564
4. Step 4: Simplify right side
   22,500x = 1,126,542,096
5. Step 5: Solve for x
   x = 1,126,542,096/22,500
6. Step 6: Final answer
   x = 50,068.54