Finding the Third Proportional to 2,896.31 and 4,488.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,896.31 : 4,488.47 = 4,488.47 : x
2. Step 2: Convert to fraction form
   2,896.31/4,488.47 = 4,488.47/x
3. Step 3: Cross multiply
   2,896.31x = 4,488.47 × 4,488.47
4. Step 4: Simplify right side
   2,896.31x = 20,146,351.72
5. Step 5: Solve for x
   x = 20,146,351.72/2,896.31
6. Step 6: Final answer
   x = 6,955.86