Finding the Third Proportional to 33,806 and 73,084

Step by Step Solution

1. Step 1: Write the proportion equation
   33,806 : 73,084 = 73,084 : x
2. Step 2: Convert to fraction form
   33,806/73,084 = 73,084/x
3. Step 3: Cross multiply
   33,806x = 73,084 × 73,084
4. Step 4: Simplify right side
   33,806x = 5,341,271,056
5. Step 5: Solve for x
   x = 5,341,271,056/33,806
6. Step 6: Final answer
   x = 157,997.72