Finding the Third Proportional to 33,500 and 50,214

Step by Step Solution

1. Step 1: Write the proportion equation
   33,500 : 50,214 = 50,214 : x
2. Step 2: Convert to fraction form
   33,500/50,214 = 50,214/x
3. Step 3: Cross multiply
   33,500x = 50,214 × 50,214
4. Step 4: Simplify right side
   33,500x = 2,521,445,796
5. Step 5: Solve for x
   x = 2,521,445,796/33,500
6. Step 6: Final answer
   x = 75,267.04