Finding the Third Proportional to 31,914 and 70,170

Step by Step Solution

1. Step 1: Write the proportion equation
   31,914 : 70,170 = 70,170 : x
2. Step 2: Convert to fraction form
   31,914/70,170 = 70,170/x
3. Step 3: Cross multiply
   31,914x = 70,170 × 70,170
4. Step 4: Simplify right side
   31,914x = 4,923,828,900
5. Step 5: Solve for x
   x = 4,923,828,900/31,914
6. Step 6: Final answer
   x = 154,284.29