Finding the Third Proportional to 33,380 and 73,308

Step by Step Solution

1. Step 1: Write the proportion equation
   33,380 : 73,308 = 73,308 : x
2. Step 2: Convert to fraction form
   33,380/73,308 = 73,308/x
3. Step 3: Cross multiply
   33,380x = 73,308 × 73,308
4. Step 4: Simplify right side
   33,380x = 5,374,062,864
5. Step 5: Solve for x
   x = 5,374,062,864/33,380
6. Step 6: Final answer
   x = 160,996.49