Finding the Third Proportional to 3,196.97 and 4,776.47

Step by Step Solution

1. Step 1: Write the proportion equation
   3,196.97 : 4,776.47 = 4,776.47 : x
2. Step 2: Convert to fraction form
   3,196.97/4,776.47 = 4,776.47/x
3. Step 3: Cross multiply
   3,196.97x = 4,776.47 × 4,776.47
4. Step 4: Simplify right side
   3,196.97x = 22,814,653.72
5. Step 5: Solve for x
   x = 22,814,653.72/3,196.97
6. Step 6: Final answer
   x = 7,136.34