Finding the Third Proportional to 16,536 and 23,573

Step by Step Solution

1. Step 1: Write the proportion equation
   16,536 : 23,573 = 23,573 : x
2. Step 2: Convert to fraction form
   16,536/23,573 = 23,573/x
3. Step 3: Cross multiply
   16,536x = 23,573 × 23,573
4. Step 4: Simplify right side
   16,536x = 555,686,329
5. Step 5: Solve for x
   x = 555,686,329/16,536
6. Step 6: Final answer
   x = 33,604.64