Finding the Third Proportional to 31,544 and 68,680

Step by Step Solution

1. Step 1: Write the proportion equation
   31,544 : 68,680 = 68,680 : x
2. Step 2: Convert to fraction form
   31,544/68,680 = 68,680/x
3. Step 3: Cross multiply
   31,544x = 68,680 × 68,680
4. Step 4: Simplify right side
   31,544x = 4,716,942,400
5. Step 5: Solve for x
   x = 4,716,942,400/31,544
6. Step 6: Final answer
   x = 149,535.33