Finding the Third Proportional to 31,564 and 73,078

Step by Step Solution

1. Step 1: Write the proportion equation
   31,564 : 73,078 = 73,078 : x
2. Step 2: Convert to fraction form
   31,564/73,078 = 73,078/x
3. Step 3: Cross multiply
   31,564x = 73,078 × 73,078
4. Step 4: Simplify right side
   31,564x = 5,340,394,084
5. Step 5: Solve for x
   x = 5,340,394,084/31,564
6. Step 6: Final answer
   x = 169,192.56