Finding the Third Proportional to 33,420 and 71,288

Step by Step Solution

1. Step 1: Write the proportion equation
   33,420 : 71,288 = 71,288 : x
2. Step 2: Convert to fraction form
   33,420/71,288 = 71,288/x
3. Step 3: Cross multiply
   33,420x = 71,288 × 71,288
4. Step 4: Simplify right side
   33,420x = 5,081,978,944
5. Step 5: Solve for x
   x = 5,081,978,944/33,420
6. Step 6: Final answer
   x = 152,064.00