Finding the Third Proportional to 33,941 and 73,084

Step by Step Solution

1. Step 1: Write the proportion equation
   33,941 : 73,084 = 73,084 : x
2. Step 2: Convert to fraction form
   33,941/73,084 = 73,084/x
3. Step 3: Cross multiply
   33,941x = 73,084 × 73,084
4. Step 4: Simplify right side
   33,941x = 5,341,271,056
5. Step 5: Solve for x
   x = 5,341,271,056/33,941
6. Step 6: Final answer
   x = 157,369.29