Finding the Third Proportional to 33,414 and 71,850

Step by Step Solution

1. Step 1: Write the proportion equation
   33,414 : 71,850 = 71,850 : x
2. Step 2: Convert to fraction form
   33,414/71,850 = 71,850/x
3. Step 3: Cross multiply
   33,414x = 71,850 × 71,850
4. Step 4: Simplify right side
   33,414x = 5,162,422,500
5. Step 5: Solve for x
   x = 5,162,422,500/33,414
6. Step 6: Final answer
   x = 154,498.79