Finding the Third Proportional to 10,071 and 11,097

Step by Step Solution

1. Step 1: Write the proportion equation
   10,071 : 11,097 = 11,097 : x
2. Step 2: Convert to fraction form
   10,071/11,097 = 11,097/x
3. Step 3: Cross multiply
   10,071x = 11,097 × 11,097
4. Step 4: Simplify right side
   10,071x = 123,143,409
5. Step 5: Solve for x
   x = 123,143,409/10,071
6. Step 6: Final answer
   x = 12,227.53