Finding the Third Proportional to 33,657 and 73,842

Step by Step Solution

1. Step 1: Write the proportion equation
   33,657 : 73,842 = 73,842 : x
2. Step 2: Convert to fraction form
   33,657/73,842 = 73,842/x
3. Step 3: Cross multiply
   33,657x = 73,842 × 73,842
4. Step 4: Simplify right side
   33,657x = 5,452,640,964
5. Step 5: Solve for x
   x = 5,452,640,964/33,657
6. Step 6: Final answer
   x = 162,006.15