Finding the Third Proportional to 31,568 and 70,142.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,568 : 70,142.75 = 70,142.75 : x
2. Step 2: Convert to fraction form
   31,568/70,142.75 = 70,142.75/x
3. Step 3: Cross multiply
   31,568x = 70,142.75 × 70,142.75
4. Step 4: Simplify right side
   31,568x = 4,920,005,377.56
5. Step 5: Solve for x
   x = 4,920,005,377.56/31,568
6. Step 6: Final answer
   x = 155,854.20