Finding the Third Proportional to 31,906 and 69,950

Step by Step Solution

1. Step 1: Write the proportion equation
   31,906 : 69,950 = 69,950 : x
2. Step 2: Convert to fraction form
   31,906/69,950 = 69,950/x
3. Step 3: Cross multiply
   31,906x = 69,950 × 69,950
4. Step 4: Simplify right side
   31,906x = 4,893,002,500
5. Step 5: Solve for x
   x = 4,893,002,500/31,906
6. Step 6: Final answer
   x = 153,356.81