Finding the Third Proportional to 10,224 and 22,384

Step by Step Solution

1. Step 1: Write the proportion equation
   10,224 : 22,384 = 22,384 : x
2. Step 2: Convert to fraction form
   10,224/22,384 = 22,384/x
3. Step 3: Cross multiply
   10,224x = 22,384 × 22,384
4. Step 4: Simplify right side
   10,224x = 501,043,456
5. Step 5: Solve for x
   x = 501,043,456/10,224
6. Step 6: Final answer
   x = 49,006.60