Finding the Third Proportional to 10,022 and 11,156

Step by Step Solution

1. Step 1: Write the proportion equation
   10,022 : 11,156 = 11,156 : x
2. Step 2: Convert to fraction form
   10,022/11,156 = 11,156/x
3. Step 3: Cross multiply
   10,022x = 11,156 × 11,156
4. Step 4: Simplify right side
   10,022x = 124,456,336
5. Step 5: Solve for x
   x = 124,456,336/10,022
6. Step 6: Final answer
   x = 12,418.31