Finding the Third Proportional to 27,942 and 42,885

Step by Step Solution

1. Step 1: Write the proportion equation
   27,942 : 42,885 = 42,885 : x
2. Step 2: Convert to fraction form
   27,942/42,885 = 42,885/x
3. Step 3: Cross multiply
   27,942x = 42,885 × 42,885
4. Step 4: Simplify right side
   27,942x = 1,839,123,225
5. Step 5: Solve for x
   x = 1,839,123,225/27,942
6. Step 6: Final answer
   x = 65,819.31