Finding the Third Proportional to 1,027.69 and 1,802.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,027.69 : 1,802.81 = 1,802.81 : x
2. Step 2: Convert to fraction form
   1,027.69/1,802.81 = 1,802.81/x
3. Step 3: Cross multiply
   1,027.69x = 1,802.81 × 1,802.81
4. Step 4: Simplify right side
   1,027.69x = 3,250,132.91
5. Step 5: Solve for x
   x = 3,250,132.91/1,027.69
6. Step 6: Final answer
   x = 3,162.57