Finding the Third Proportional to 34,004 and 73,844

Step by Step Solution

1. Step 1: Write the proportion equation
   34,004 : 73,844 = 73,844 : x
2. Step 2: Convert to fraction form
   34,004/73,844 = 73,844/x
3. Step 3: Cross multiply
   34,004x = 73,844 × 73,844
4. Step 4: Simplify right side
   34,004x = 5,452,936,336
5. Step 5: Solve for x
   x = 5,452,936,336/34,004
6. Step 6: Final answer
   x = 160,361.61