Finding the Third Proportional to 33,434 and 71,200

Step by Step Solution

1. Step 1: Write the proportion equation
   33,434 : 71,200 = 71,200 : x
2. Step 2: Convert to fraction form
   33,434/71,200 = 71,200/x
3. Step 3: Cross multiply
   33,434x = 71,200 × 71,200
4. Step 4: Simplify right side
   33,434x = 5,069,440,000
5. Step 5: Solve for x
   x = 5,069,440,000/33,434
6. Step 6: Final answer
   x = 151,625.29