Finding the Third Proportional to 33,525 and 73,451

Step by Step Solution

1. Step 1: Write the proportion equation
   33,525 : 73,451 = 73,451 : x
2. Step 2: Convert to fraction form
   33,525/73,451 = 73,451/x
3. Step 3: Cross multiply
   33,525x = 73,451 × 73,451
4. Step 4: Simplify right side
   33,525x = 5,395,049,401
5. Step 5: Solve for x
   x = 5,395,049,401/33,525
6. Step 6: Final answer
   x = 160,926.16