Finding the Third Proportional to 1,265.25 and 1,854.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,265.25 : 1,854.38 = 1,854.38 : x
2. Step 2: Convert to fraction form
   1,265.25/1,854.38 = 1,854.38/x
3. Step 3: Cross multiply
   1,265.25x = 1,854.38 × 1,854.38
4. Step 4: Simplify right side
   1,265.25x = 3,438,706.64
5. Step 5: Solve for x
   x = 3,438,706.64/1,265.25
6. Step 6: Final answer
   x = 2,717.81