Finding the Third Proportional to 33,690 and 73,608

Step by Step Solution

1. Step 1: Write the proportion equation
   33,690 : 73,608 = 73,608 : x
2. Step 2: Convert to fraction form
   33,690/73,608 = 73,608/x
3. Step 3: Cross multiply
   33,690x = 73,608 × 73,608
4. Step 4: Simplify right side
   33,690x = 5,418,137,664
5. Step 5: Solve for x
   x = 5,418,137,664/33,690
6. Step 6: Final answer
   x = 160,823.32