Finding the Third Proportional to 33,834 and 73,788

Step by Step Solution

1. Step 1: Write the proportion equation
   33,834 : 73,788 = 73,788 : x
2. Step 2: Convert to fraction form
   33,834/73,788 = 73,788/x
3. Step 3: Cross multiply
   33,834x = 73,788 × 73,788
4. Step 4: Simplify right side
   33,834x = 5,444,668,944
5. Step 5: Solve for x
   x = 5,444,668,944/33,834
6. Step 6: Final answer
   x = 160,923.00