Finding the Third Proportional to 10,396 and 22,456

Step by Step Solution

1. Step 1: Write the proportion equation
   10,396 : 22,456 = 22,456 : x
2. Step 2: Convert to fraction form
   10,396/22,456 = 22,456/x
3. Step 3: Cross multiply
   10,396x = 22,456 × 22,456
4. Step 4: Simplify right side
   10,396x = 504,271,936
5. Step 5: Solve for x
   x = 504,271,936/10,396
6. Step 6: Final answer
   x = 48,506.34