Finding the Third Proportional to 16,140 and 22,857

Step by Step Solution

1. Step 1: Write the proportion equation
   16,140 : 22,857 = 22,857 : x
2. Step 2: Convert to fraction form
   16,140/22,857 = 22,857/x
3. Step 3: Cross multiply
   16,140x = 22,857 × 22,857
4. Step 4: Simplify right side
   16,140x = 522,442,449
5. Step 5: Solve for x
   x = 522,442,449/16,140
6. Step 6: Final answer
   x = 32,369.42