Finding the Third Proportional to 32,022 and 50,238

Step by Step Solution

1. Step 1: Write the proportion equation
   32,022 : 50,238 = 50,238 : x
2. Step 2: Convert to fraction form
   32,022/50,238 = 50,238/x
3. Step 3: Cross multiply
   32,022x = 50,238 × 50,238
4. Step 4: Simplify right side
   32,022x = 2,523,856,644
5. Step 5: Solve for x
   x = 2,523,856,644/32,022
6. Step 6: Final answer
   x = 78,816.33