Finding the Third Proportional to 33,883 and 74,308

Step by Step Solution

1. Step 1: Write the proportion equation
   33,883 : 74,308 = 74,308 : x
2. Step 2: Convert to fraction form
   33,883/74,308 = 74,308/x
3. Step 3: Cross multiply
   33,883x = 74,308 × 74,308
4. Step 4: Simplify right side
   33,883x = 5,521,678,864
5. Step 5: Solve for x
   x = 5,521,678,864/33,883
6. Step 6: Final answer
   x = 162,963.10