Finding the Third Proportional to 33,834 and 71,404

Step by Step Solution

1. Step 1: Write the proportion equation
   33,834 : 71,404 = 71,404 : x
2. Step 2: Convert to fraction form
   33,834/71,404 = 71,404/x
3. Step 3: Cross multiply
   33,834x = 71,404 × 71,404
4. Step 4: Simplify right side
   33,834x = 5,098,531,216
5. Step 5: Solve for x
   x = 5,098,531,216/33,834
6. Step 6: Final answer
   x = 150,692.53