Finding the Third Proportional to 2,922 and 4,626

Step by Step Solution

1. Step 1: Write the proportion equation
   2,922 : 4,626 = 4,626 : x
2. Step 2: Convert to fraction form
   2,922/4,626 = 4,626/x
3. Step 3: Cross multiply
   2,922x = 4,626 × 4,626
4. Step 4: Simplify right side
   2,922x = 21,399,876
5. Step 5: Solve for x
   x = 21,399,876/2,922
6. Step 6: Final answer
   x = 7,323.71