Finding the Third Proportional to 1,290.25 and 2,395.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,290.25 : 2,395.75 = 2,395.75 : x
2. Step 2: Convert to fraction form
   1,290.25/2,395.75 = 2,395.75/x
3. Step 3: Cross multiply
   1,290.25x = 2,395.75 × 2,395.75
4. Step 4: Simplify right side
   1,290.25x = 5,739,618.06
5. Step 5: Solve for x
   x = 5,739,618.06/1,290.25
6. Step 6: Final answer
   x = 4,448.45