Finding the Third Proportional to 33,975 and 73,620

Step by Step Solution

1. Step 1: Write the proportion equation
   33,975 : 73,620 = 73,620 : x
2. Step 2: Convert to fraction form
   33,975/73,620 = 73,620/x
3. Step 3: Cross multiply
   33,975x = 73,620 × 73,620
4. Step 4: Simplify right side
   33,975x = 5,419,904,400
5. Step 5: Solve for x
   x = 5,419,904,400/33,975
6. Step 6: Final answer
   x = 159,526.25