Finding the Third Proportional to 2,963.25 and 4,618.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,963.25 : 4,618.69 = 4,618.69 : x
2. Step 2: Convert to fraction form
   2,963.25/4,618.69 = 4,618.69/x
3. Step 3: Cross multiply
   2,963.25x = 4,618.69 × 4,618.69
4. Step 4: Simplify right side
   2,963.25x = 21,332,274.22
5. Step 5: Solve for x
   x = 21,332,274.22/2,963.25
6. Step 6: Final answer
   x = 7,198.95