Finding the Third Proportional to 1,144.97 and 1,984.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,144.97 : 1,984.69 = 1,984.69 : x
2. Step 2: Convert to fraction form
   1,144.97/1,984.69 = 1,984.69/x
3. Step 3: Cross multiply
   1,144.97x = 1,984.69 × 1,984.69
4. Step 4: Simplify right side
   1,144.97x = 3,938,984.47
5. Step 5: Solve for x
   x = 3,938,984.47/1,144.97
6. Step 6: Final answer
   x = 3,440.26