Finding the Third Proportional to 1,802.25 and 2,881.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,802.25 : 2,881.83 = 2,881.83 : x
2. Step 2: Convert to fraction form
   1,802.25/2,881.83 = 2,881.83/x
3. Step 3: Cross multiply
   1,802.25x = 2,881.83 × 2,881.83
4. Step 4: Simplify right side
   1,802.25x = 8,304,933.34
5. Step 5: Solve for x
   x = 8,304,933.34/1,802.25
6. Step 6: Final answer
   x = 4,608.09