Finding the Third Proportional to 33,728 and 73,882

Step by Step Solution

1. Step 1: Write the proportion equation
   33,728 : 73,882 = 73,882 : x
2. Step 2: Convert to fraction form
   33,728/73,882 = 73,882/x
3. Step 3: Cross multiply
   33,728x = 73,882 × 73,882
4. Step 4: Simplify right side
   33,728x = 5,458,549,924
5. Step 5: Solve for x
   x = 5,458,549,924/33,728
6. Step 6: Final answer
   x = 161,840.31