Finding the Third Proportional to 5,946 and 10,974

Step by Step Solution

1. Step 1: Write the proportion equation
   5,946 : 10,974 = 10,974 : x
2. Step 2: Convert to fraction form
   5,946/10,974 = 10,974/x
3. Step 3: Cross multiply
   5,946x = 10,974 × 10,974
4. Step 4: Simplify right side
   5,946x = 120,428,676
5. Step 5: Solve for x
   x = 120,428,676/5,946
6. Step 6: Final answer
   x = 20,253.73