Finding the Third Proportional to 20,224 and 41,456

Step by Step Solution

1. Step 1: Write the proportion equation
   20,224 : 41,456 = 41,456 : x
2. Step 2: Convert to fraction form
   20,224/41,456 = 41,456/x
3. Step 3: Cross multiply
   20,224x = 41,456 × 41,456
4. Step 4: Simplify right side
   20,224x = 1,718,599,936
5. Step 5: Solve for x
   x = 1,718,599,936/20,224
6. Step 6: Final answer
   x = 84,978.24