Finding the Third Proportional to 1,004.06 and 1,802.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.06 : 1,802.06 = 1,802.06 : x
2. Step 2: Convert to fraction form
   1,004.06/1,802.06 = 1,802.06/x
3. Step 3: Cross multiply
   1,004.06x = 1,802.06 × 1,802.06
4. Step 4: Simplify right side
   1,004.06x = 3,247,429.25
5. Step 5: Solve for x
   x = 3,247,429.25/1,004.06
6. Step 6: Final answer
   x = 3,234.29