Finding the Third Proportional to 10,214 and 22,456

Step by Step Solution

1. Step 1: Write the proportion equation
   10,214 : 22,456 = 22,456 : x
2. Step 2: Convert to fraction form
   10,214/22,456 = 22,456/x
3. Step 3: Cross multiply
   10,214x = 22,456 × 22,456
4. Step 4: Simplify right side
   10,214x = 504,271,936
5. Step 5: Solve for x
   x = 504,271,936/10,214
6. Step 6: Final answer
   x = 49,370.66