Finding the Third Proportional to 31,710 and 69,228

Step by Step Solution

1. Step 1: Write the proportion equation
   31,710 : 69,228 = 69,228 : x
2. Step 2: Convert to fraction form
   31,710/69,228 = 69,228/x
3. Step 3: Cross multiply
   31,710x = 69,228 × 69,228
4. Step 4: Simplify right side
   31,710x = 4,792,515,984
5. Step 5: Solve for x
   x = 4,792,515,984/31,710
6. Step 6: Final answer
   x = 151,135.79