Finding the Third Proportional to 33,628 and 73,787

Step by Step Solution

1. Step 1: Write the proportion equation
   33,628 : 73,787 = 73,787 : x
2. Step 2: Convert to fraction form
   33,628/73,787 = 73,787/x
3. Step 3: Cross multiply
   33,628x = 73,787 × 73,787
4. Step 4: Simplify right side
   33,628x = 5,444,521,369
5. Step 5: Solve for x
   x = 5,444,521,369/33,628
6. Step 6: Final answer
   x = 161,904.41