Finding the Third Proportional to 33,909 and 73,764

Step by Step Solution

1. Step 1: Write the proportion equation
   33,909 : 73,764 = 73,764 : x
2. Step 2: Convert to fraction form
   33,909/73,764 = 73,764/x
3. Step 3: Cross multiply
   33,909x = 73,764 × 73,764
4. Step 4: Simplify right side
   33,909x = 5,441,127,696
5. Step 5: Solve for x
   x = 5,441,127,696/33,909
6. Step 6: Final answer
   x = 160,462.64