Finding the Third Proportional to 3,098.81 and 4,417.31

Step by Step Solution

1. Step 1: Write the proportion equation
   3,098.81 : 4,417.31 = 4,417.31 : x
2. Step 2: Convert to fraction form
   3,098.81/4,417.31 = 4,417.31/x
3. Step 3: Cross multiply
   3,098.81x = 4,417.31 × 4,417.31
4. Step 4: Simplify right side
   3,098.81x = 19,512,649.72
5. Step 5: Solve for x
   x = 19,512,649.72/3,098.81
6. Step 6: Final answer
   x = 6,296.82