Finding the Third Proportional to 33,738 and 73,902

Step by Step Solution

1. Step 1: Write the proportion equation
   33,738 : 73,902 = 73,902 : x
2. Step 2: Convert to fraction form
   33,738/73,902 = 73,902/x
3. Step 3: Cross multiply
   33,738x = 73,902 × 73,902
4. Step 4: Simplify right side
   33,738x = 5,461,505,604
5. Step 5: Solve for x
   x = 5,461,505,604/33,738
6. Step 6: Final answer
   x = 161,879.95