Finding the Third Proportional to 31,674 and 69,231

Step by Step Solution

1. Step 1: Write the proportion equation
   31,674 : 69,231 = 69,231 : x
2. Step 2: Convert to fraction form
   31,674/69,231 = 69,231/x
3. Step 3: Cross multiply
   31,674x = 69,231 × 69,231
4. Step 4: Simplify right side
   31,674x = 4,792,931,361
5. Step 5: Solve for x
   x = 4,792,931,361/31,674
6. Step 6: Final answer
   x = 151,320.68