Finding the Third Proportional to 3,946 and 7,064

Step by Step Solution

1. Step 1: Write the proportion equation
   3,946 : 7,064 = 7,064 : x
2. Step 2: Convert to fraction form
   3,946/7,064 = 7,064/x
3. Step 3: Cross multiply
   3,946x = 7,064 × 7,064
4. Step 4: Simplify right side
   3,946x = 49,900,096
5. Step 5: Solve for x
   x = 49,900,096/3,946
6. Step 6: Final answer
   x = 12,645.74