Finding the Third Proportional to 1,540.88 and 3,282.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,540.88 : 3,282.38 = 3,282.38 : x
2. Step 2: Convert to fraction form
   1,540.88/3,282.38 = 3,282.38/x
3. Step 3: Cross multiply
   1,540.88x = 3,282.38 × 3,282.38
4. Step 4: Simplify right side
   1,540.88x = 10,773,985.64
5. Step 5: Solve for x
   x = 10,773,985.64/1,540.88
6. Step 6: Final answer
   x = 6,992.12