Finding the Third Proportional to 1,020.94 and 1,549.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,020.94 : 1,549.31 = 1,549.31 : x
2. Step 2: Convert to fraction form
   1,020.94/1,549.31 = 1,549.31/x
3. Step 3: Cross multiply
   1,020.94x = 1,549.31 × 1,549.31
4. Step 4: Simplify right side
   1,020.94x = 2,400,369.22
5. Step 5: Solve for x
   x = 2,400,369.22/1,020.94
6. Step 6: Final answer
   x = 2,351.14