Finding the Third Proportional to 1,427.81 and 3,163.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,427.81 : 3,163.31 = 3,163.31 : x
2. Step 2: Convert to fraction form
   1,427.81/3,163.31 = 3,163.31/x
3. Step 3: Cross multiply
   1,427.81x = 3,163.31 × 3,163.31
4. Step 4: Simplify right side
   1,427.81x = 10,006,545.97
5. Step 5: Solve for x
   x = 10,006,545.97/1,427.81
6. Step 6: Final answer
   x = 7,008.31