Finding the Third Proportional to 10,772 and 22,849

Step by Step Solution

1. Step 1: Write the proportion equation
   10,772 : 22,849 = 22,849 : x
2. Step 2: Convert to fraction form
   10,772/22,849 = 22,849/x
3. Step 3: Cross multiply
   10,772x = 22,849 × 22,849
4. Step 4: Simplify right side
   10,772x = 522,076,801
5. Step 5: Solve for x
   x = 522,076,801/10,772
6. Step 6: Final answer
   x = 48,466.10