Finding the Third Proportional to 840 and 1,802.25

Step by Step Solution

1. Step 1: Write the proportion equation
   840 : 1,802.25 = 1,802.25 : x
2. Step 2: Convert to fraction form
   840/1,802.25 = 1,802.25/x
3. Step 3: Cross multiply
   840x = 1,802.25 × 1,802.25
4. Step 4: Simplify right side
   840x = 3,248,105.06
5. Step 5: Solve for x
   x = 3,248,105.06/840
6. Step 6: Final answer
   x = 3,866.79