Finding the Third Proportional to 33,969 and 73,770

Step by Step Solution

1. Step 1: Write the proportion equation
   33,969 : 73,770 = 73,770 : x
2. Step 2: Convert to fraction form
   33,969/73,770 = 73,770/x
3. Step 3: Cross multiply
   33,969x = 73,770 × 73,770
4. Step 4: Simplify right side
   33,969x = 5,442,012,900
5. Step 5: Solve for x
   x = 5,442,012,900/33,969
6. Step 6: Final answer
   x = 160,205.27