Finding the Third Proportional to 16,536 and 23,564

Step by Step Solution

1. Step 1: Write the proportion equation
   16,536 : 23,564 = 23,564 : x
2. Step 2: Convert to fraction form
   16,536/23,564 = 23,564/x
3. Step 3: Cross multiply
   16,536x = 23,564 × 23,564
4. Step 4: Simplify right side
   16,536x = 555,262,096
5. Step 5: Solve for x
   x = 555,262,096/16,536
6. Step 6: Final answer
   x = 33,578.99