Finding the Third Proportional to 22,871 and 33,564

Step by Step Solution

1. Step 1: Write the proportion equation
   22,871 : 33,564 = 33,564 : x
2. Step 2: Convert to fraction form
   22,871/33,564 = 33,564/x
3. Step 3: Cross multiply
   22,871x = 33,564 × 33,564
4. Step 4: Simplify right side
   22,871x = 1,126,542,096
5. Step 5: Solve for x
   x = 1,126,542,096/22,871
6. Step 6: Final answer
   x = 49,256.36