Finding the Third Proportional to 1,144.97 and 2,438.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,144.97 : 2,438.02 = 2,438.02 : x
2. Step 2: Convert to fraction form
   1,144.97/2,438.02 = 2,438.02/x
3. Step 3: Cross multiply
   1,144.97x = 2,438.02 × 2,438.02
4. Step 4: Simplify right side
   1,144.97x = 5,943,920.19
5. Step 5: Solve for x
   x = 5,943,920.19/1,144.97
6. Step 6: Final answer
   x = 5,191.34