Finding the Third Proportional to 35,892 and 73,578

Step by Step Solution

1. Step 1: Write the proportion equation
   35,892 : 73,578 = 73,578 : x
2. Step 2: Convert to fraction form
   35,892/73,578 = 73,578/x
3. Step 3: Cross multiply
   35,892x = 73,578 × 73,578
4. Step 4: Simplify right side
   35,892x = 5,413,722,084
5. Step 5: Solve for x
   x = 5,413,722,084/35,892
6. Step 6: Final answer
   x = 150,833.67