Finding the Third Proportional to 10,114 and 11,002

Step by Step Solution

1. Step 1: Write the proportion equation
   10,114 : 11,002 = 11,002 : x
2. Step 2: Convert to fraction form
   10,114/11,002 = 11,002/x
3. Step 3: Cross multiply
   10,114x = 11,002 × 11,002
4. Step 4: Simplify right side
   10,114x = 121,044,004
5. Step 5: Solve for x
   x = 121,044,004/10,114
6. Step 6: Final answer
   x = 11,967.97