Finding the Third Proportional to 33,834 and 73,431

Step by Step Solution

1. Step 1: Write the proportion equation
   33,834 : 73,431 = 73,431 : x
2. Step 2: Convert to fraction form
   33,834/73,431 = 73,431/x
3. Step 3: Cross multiply
   33,834x = 73,431 × 73,431
4. Step 4: Simplify right side
   33,834x = 5,392,111,761
5. Step 5: Solve for x
   x = 5,392,111,761/33,834
6. Step 6: Final answer
   x = 159,369.62