Finding the Third Proportional to 34,242 and 73,578

Step by Step Solution

1. Step 1: Write the proportion equation
   34,242 : 73,578 = 73,578 : x
2. Step 2: Convert to fraction form
   34,242/73,578 = 73,578/x
3. Step 3: Cross multiply
   34,242x = 73,578 × 73,578
4. Step 4: Simplify right side
   34,242x = 5,413,722,084
5. Step 5: Solve for x
   x = 5,413,722,084/34,242
6. Step 6: Final answer
   x = 158,101.81