Finding the Third Proportional to 33,996 and 73,641

Step by Step Solution

1. Step 1: Write the proportion equation
   33,996 : 73,641 = 73,641 : x
2. Step 2: Convert to fraction form
   33,996/73,641 = 73,641/x
3. Step 3: Cross multiply
   33,996x = 73,641 × 73,641
4. Step 4: Simplify right side
   33,996x = 5,422,996,881
5. Step 5: Solve for x
   x = 5,422,996,881/33,996
6. Step 6: Final answer
   x = 159,518.68