Finding the Third Proportional to 31,856 and 69,164

Step by Step Solution

1. Step 1: Write the proportion equation
   31,856 : 69,164 = 69,164 : x
2. Step 2: Convert to fraction form
   31,856/69,164 = 69,164/x
3. Step 3: Cross multiply
   31,856x = 69,164 × 69,164
4. Step 4: Simplify right side
   31,856x = 4,783,658,896
5. Step 5: Solve for x
   x = 4,783,658,896/31,856
6. Step 6: Final answer
   x = 150,165.08