Finding the Third Proportional to 20,378 and 42,974

Step by Step Solution

1. Step 1: Write the proportion equation
   20,378 : 42,974 = 42,974 : x
2. Step 2: Convert to fraction form
   20,378/42,974 = 42,974/x
3. Step 3: Cross multiply
   20,378x = 42,974 × 42,974
4. Step 4: Simplify right side
   20,378x = 1,846,764,676
5. Step 5: Solve for x
   x = 1,846,764,676/20,378
6. Step 6: Final answer
   x = 90,625.41