Finding the Third Proportional to 16,537 and 22,456

Step by Step Solution

1. Step 1: Write the proportion equation
   16,537 : 22,456 = 22,456 : x
2. Step 2: Convert to fraction form
   16,537/22,456 = 22,456/x
3. Step 3: Cross multiply
   16,537x = 22,456 × 22,456
4. Step 4: Simplify right side
   16,537x = 504,271,936
5. Step 5: Solve for x
   x = 504,271,936/16,537
6. Step 6: Final answer
   x = 30,493.56