Finding the Third Proportional to 33,780 and 73,505

Step by Step Solution

1. Step 1: Write the proportion equation
   33,780 : 73,505 = 73,505 : x
2. Step 2: Convert to fraction form
   33,780/73,505 = 73,505/x
3. Step 3: Cross multiply
   33,780x = 73,505 × 73,505
4. Step 4: Simplify right side
   33,780x = 5,402,985,025
5. Step 5: Solve for x
   x = 5,402,985,025/33,780
6. Step 6: Final answer
   x = 159,946.27