Finding the Third Proportional to 33,430 and 71,192

Step by Step Solution

1. Step 1: Write the proportion equation
   33,430 : 71,192 = 71,192 : x
2. Step 2: Convert to fraction form
   33,430/71,192 = 71,192/x
3. Step 3: Cross multiply
   33,430x = 71,192 × 71,192
4. Step 4: Simplify right side
   33,430x = 5,068,300,864
5. Step 5: Solve for x
   x = 5,068,300,864/33,430
6. Step 6: Final answer
   x = 151,609.36