Finding the Third Proportional to 27,682 and 42,981

Step by Step Solution

1. Step 1: Write the proportion equation
   27,682 : 42,981 = 42,981 : x
2. Step 2: Convert to fraction form
   27,682/42,981 = 42,981/x
3. Step 3: Cross multiply
   27,682x = 42,981 × 42,981
4. Step 4: Simplify right side
   27,682x = 1,847,366,361
5. Step 5: Solve for x
   x = 1,847,366,361/27,682
6. Step 6: Final answer
   x = 66,735.29