Finding the Third Proportional to 1,266 and 1,851.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,266 : 1,851.38 = 1,851.38 : x
2. Step 2: Convert to fraction form
   1,266/1,851.38 = 1,851.38/x
3. Step 3: Cross multiply
   1,266x = 1,851.38 × 1,851.38
4. Step 4: Simplify right side
   1,266x = 3,427,589.39
5. Step 5: Solve for x
   x = 3,427,589.39/1,266
6. Step 6: Final answer
   x = 2,707.42