Finding the Third Proportional to 16,536 and 23,571

Step by Step Solution

1. Step 1: Write the proportion equation
   16,536 : 23,571 = 23,571 : x
2. Step 2: Convert to fraction form
   16,536/23,571 = 23,571/x
3. Step 3: Cross multiply
   16,536x = 23,571 × 23,571
4. Step 4: Simplify right side
   16,536x = 555,592,041
5. Step 5: Solve for x
   x = 555,592,041/16,536
6. Step 6: Final answer
   x = 33,598.94