Finding the Third Proportional to 1,255.75 and 2,626.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,255.75 : 2,626.25 = 2,626.25 : x
2. Step 2: Convert to fraction form
   1,255.75/2,626.25 = 2,626.25/x
3. Step 3: Cross multiply
   1,255.75x = 2,626.25 × 2,626.25
4. Step 4: Simplify right side
   1,255.75x = 6,897,189.06
5. Step 5: Solve for x
   x = 6,897,189.06/1,255.75
6. Step 6: Final answer
   x = 5,492.49