Finding the Third Proportional to 31,981 and 69,785

Step by Step Solution

1. Step 1: Write the proportion equation
   31,981 : 69,785 = 69,785 : x
2. Step 2: Convert to fraction form
   31,981/69,785 = 69,785/x
3. Step 3: Cross multiply
   31,981x = 69,785 × 69,785
4. Step 4: Simplify right side
   31,981x = 4,869,946,225
5. Step 5: Solve for x
   x = 4,869,946,225/31,981
6. Step 6: Final answer
   x = 152,276.23