Finding the Third Proportional to 10,116 and 11,004

Step by Step Solution

1. Step 1: Write the proportion equation
   10,116 : 11,004 = 11,004 : x
2. Step 2: Convert to fraction form
   10,116/11,004 = 11,004/x
3. Step 3: Cross multiply
   10,116x = 11,004 × 11,004
4. Step 4: Simplify right side
   10,116x = 121,088,016
5. Step 5: Solve for x
   x = 121,088,016/10,116
6. Step 6: Final answer
   x = 11,969.95