Finding the Third Proportional to 31,683 and 42,675

Step by Step Solution

1. Step 1: Write the proportion equation
   31,683 : 42,675 = 42,675 : x
2. Step 2: Convert to fraction form
   31,683/42,675 = 42,675/x
3. Step 3: Cross multiply
   31,683x = 42,675 × 42,675
4. Step 4: Simplify right side
   31,683x = 1,821,155,625
5. Step 5: Solve for x
   x = 1,821,155,625/31,683
6. Step 6: Final answer
   x = 57,480.53