Finding the Third Proportional to 10,096 and 22,052

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096 : 22,052 = 22,052 : x
2. Step 2: Convert to fraction form
   10,096/22,052 = 22,052/x
3. Step 3: Cross multiply
   10,096x = 22,052 × 22,052
4. Step 4: Simplify right side
   10,096x = 486,290,704
5. Step 5: Solve for x
   x = 486,290,704/10,096
6. Step 6: Final answer
   x = 48,166.67