Finding the Third Proportional to 33,454 and 73,466

Step by Step Solution

1. Step 1: Write the proportion equation
   33,454 : 73,466 = 73,466 : x
2. Step 2: Convert to fraction form
   33,454/73,466 = 73,466/x
3. Step 3: Cross multiply
   33,454x = 73,466 × 73,466
4. Step 4: Simplify right side
   33,454x = 5,397,253,156
5. Step 5: Solve for x
   x = 5,397,253,156/33,454
6. Step 6: Final answer
   x = 161,333.57