Finding the Third Proportional to 11,097 and 23,571

Step by Step Solution

1. Step 1: Write the proportion equation
   11,097 : 23,571 = 23,571 : x
2. Step 2: Convert to fraction form
   11,097/23,571 = 23,571/x
3. Step 3: Cross multiply
   11,097x = 23,571 × 23,571
4. Step 4: Simplify right side
   11,097x = 555,592,041
5. Step 5: Solve for x
   x = 555,592,041/11,097
6. Step 6: Final answer
   x = 50,066.87