Finding the Third Proportional to 33,656 and 73,424

Step by Step Solution

1. Step 1: Write the proportion equation
   33,656 : 73,424 = 73,424 : x
2. Step 2: Convert to fraction form
   33,656/73,424 = 73,424/x
3. Step 3: Cross multiply
   33,656x = 73,424 × 73,424
4. Step 4: Simplify right side
   33,656x = 5,391,083,776
5. Step 5: Solve for x
   x = 5,391,083,776/33,656
6. Step 6: Final answer
   x = 160,181.95