Finding the Third Proportional to 31,981 and 74,698

Step by Step Solution

1. Step 1: Write the proportion equation
   31,981 : 74,698 = 74,698 : x
2. Step 2: Convert to fraction form
   31,981/74,698 = 74,698/x
3. Step 3: Cross multiply
   31,981x = 74,698 × 74,698
4. Step 4: Simplify right side
   31,981x = 5,579,791,204
5. Step 5: Solve for x
   x = 5,579,791,204/31,981
6. Step 6: Final answer
   x = 174,472.07