Finding the Third Proportional to 1,266.75 and 1,900.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,266.75 : 1,900.25 = 1,900.25 : x
2. Step 2: Convert to fraction form
   1,266.75/1,900.25 = 1,900.25/x
3. Step 3: Cross multiply
   1,266.75x = 1,900.25 × 1,900.25
4. Step 4: Simplify right side
   1,266.75x = 3,610,950.06
5. Step 5: Solve for x
   x = 3,610,950.06/1,266.75
6. Step 6: Final answer
   x = 2,850.56