Finding the Third Proportional to 1,802.25 and 2,405.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,802.25 : 2,405.81 = 2,405.81 : x
2. Step 2: Convert to fraction form
   1,802.25/2,405.81 = 2,405.81/x
3. Step 3: Cross multiply
   1,802.25x = 2,405.81 × 2,405.81
4. Step 4: Simplify right side
   1,802.25x = 5,787,933.79
5. Step 5: Solve for x
   x = 5,787,933.79/1,802.25
6. Step 6: Final answer
   x = 3,211.50