Finding the Third Proportional to 1,082.81 and 2,280.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,082.81 : 2,280.09 = 2,280.09 : x
2. Step 2: Convert to fraction form
   1,082.81/2,280.09 = 2,280.09/x
3. Step 3: Cross multiply
   1,082.81x = 2,280.09 × 2,280.09
4. Step 4: Simplify right side
   1,082.81x = 5,198,827.51
5. Step 5: Solve for x
   x = 5,198,827.51/1,082.81
6. Step 6: Final answer
   x = 4,801.23