Finding the Third Proportional to 31,857 and 69,165

Step by Step Solution

1. Step 1: Write the proportion equation
   31,857 : 69,165 = 69,165 : x
2. Step 2: Convert to fraction form
   31,857/69,165 = 69,165/x
3. Step 3: Cross multiply
   31,857x = 69,165 × 69,165
4. Step 4: Simplify right side
   31,857x = 4,783,797,225
5. Step 5: Solve for x
   x = 4,783,797,225/31,857
6. Step 6: Final answer
   x = 150,164.71