Finding the Third Proportional to 33,584 and 73,792

Step by Step Solution

1. Step 1: Write the proportion equation
   33,584 : 73,792 = 73,792 : x
2. Step 2: Convert to fraction form
   33,584/73,792 = 73,792/x
3. Step 3: Cross multiply
   33,584x = 73,792 × 73,792
4. Step 4: Simplify right side
   33,584x = 5,445,259,264
5. Step 5: Solve for x
   x = 5,445,259,264/33,584
6. Step 6: Final answer
   x = 162,138.50