Finding the Third Proportional to 10,224 and 22,362

Step by Step Solution

1. Step 1: Write the proportion equation
   10,224 : 22,362 = 22,362 : x
2. Step 2: Convert to fraction form
   10,224/22,362 = 22,362/x
3. Step 3: Cross multiply
   10,224x = 22,362 × 22,362
4. Step 4: Simplify right side
   10,224x = 500,059,044
5. Step 5: Solve for x
   x = 500,059,044/10,224
6. Step 6: Final answer
   x = 48,910.31