Finding the Third Proportional to 2,142 and 3,540.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,142 : 3,540.38 = 3,540.38 : x
2. Step 2: Convert to fraction form
   2,142/3,540.38 = 3,540.38/x
3. Step 3: Cross multiply
   2,142x = 3,540.38 × 3,540.38
4. Step 4: Simplify right side
   2,142x = 12,534,255.14
5. Step 5: Solve for x
   x = 12,534,255.14/2,142
6. Step 6: Final answer
   x = 5,851.66