Finding the Third Proportional to 22,857 and 33,937.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,857 : 33,937.50 = 33,937.50 : x
2. Step 2: Convert to fraction form
   22,857/33,937.50 = 33,937.50/x
3. Step 3: Cross multiply
   22,857x = 33,937.50 × 33,937.50
4. Step 4: Simplify right side
   22,857x = 1,151,753,906.25
5. Step 5: Solve for x
   x = 1,151,753,906.25/22,857
6. Step 6: Final answer
   x = 50,389.55