Finding the Third Proportional to 10,096 and 20,468

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096 : 20,468 = 20,468 : x
2. Step 2: Convert to fraction form
   10,096/20,468 = 20,468/x
3. Step 3: Cross multiply
   10,096x = 20,468 × 20,468
4. Step 4: Simplify right side
   10,096x = 418,939,024
5. Step 5: Solve for x
   x = 418,939,024/10,096
6. Step 6: Final answer
   x = 41,495.55