Finding the Third Proportional to 2,930 and 3,946

Step by Step Solution

1. Step 1: Write the proportion equation
   2,930 : 3,946 = 3,946 : x
2. Step 2: Convert to fraction form
   2,930/3,946 = 3,946/x
3. Step 3: Cross multiply
   2,930x = 3,946 × 3,946
4. Step 4: Simplify right side
   2,930x = 15,570,916
5. Step 5: Solve for x
   x = 15,570,916/2,930
6. Step 6: Final answer
   x = 5,314.31