Finding the Third Proportional to 1,581.40 and 3,162.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,581.40 : 3,162.80 = 3,162.80 : x
2. Step 2: Convert to fraction form
   1,581.40/3,162.80 = 3,162.80/x
3. Step 3: Cross multiply
   1,581.40x = 3,162.80 × 3,162.80
4. Step 4: Simplify right side
   1,581.40x = 10,003,284.07
5. Step 5: Solve for x
   x = 10,003,284.07/1,581.40
6. Step 6: Final answer
   x = 6,325.59