Finding the Third Proportional to 1,153.30 and 1,802.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,153.30 : 1,802.03 = 1,802.03 : x
2. Step 2: Convert to fraction form
   1,153.30/1,802.03 = 1,802.03/x
3. Step 3: Cross multiply
   1,153.30x = 1,802.03 × 1,802.03
4. Step 4: Simplify right side
   1,153.30x = 3,247,321.03
5. Step 5: Solve for x
   x = 3,247,321.03/1,153.30
6. Step 6: Final answer
   x = 2,815.68