Finding the Third Proportional to 33,304 and 71,346

Step by Step Solution

1. Step 1: Write the proportion equation
   33,304 : 71,346 = 71,346 : x
2. Step 2: Convert to fraction form
   33,304/71,346 = 71,346/x
3. Step 3: Cross multiply
   33,304x = 71,346 × 71,346
4. Step 4: Simplify right side
   33,304x = 5,090,251,716
5. Step 5: Solve for x
   x = 5,090,251,716/33,304
6. Step 6: Final answer
   x = 152,842.05