Finding the Third Proportional to 10,116 and 10,944

Step by Step Solution

1. Step 1: Write the proportion equation
   10,116 : 10,944 = 10,944 : x
2. Step 2: Convert to fraction form
   10,116/10,944 = 10,944/x
3. Step 3: Cross multiply
   10,116x = 10,944 × 10,944
4. Step 4: Simplify right side
   10,116x = 119,771,136
5. Step 5: Solve for x
   x = 119,771,136/10,116
6. Step 6: Final answer
   x = 11,839.77