Finding the Third Proportional to 33,304 and 71,345

Step by Step Solution

1. Step 1: Write the proportion equation
   33,304 : 71,345 = 71,345 : x
2. Step 2: Convert to fraction form
   33,304/71,345 = 71,345/x
3. Step 3: Cross multiply
   33,304x = 71,345 × 71,345
4. Step 4: Simplify right side
   33,304x = 5,090,109,025
5. Step 5: Solve for x
   x = 5,090,109,025/33,304
6. Step 6: Final answer
   x = 152,837.77