Finding the Third Proportional to 1,540.13 and 3,361.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,540.13 : 3,361.78 = 3,361.78 : x
2. Step 2: Convert to fraction form
   1,540.13/3,361.78 = 3,361.78/x
3. Step 3: Cross multiply
   1,540.13x = 3,361.78 × 3,361.78
4. Step 4: Simplify right side
   1,540.13x = 11,301,573.17
5. Step 5: Solve for x
   x = 11,301,573.17/1,540.13
6. Step 6: Final answer
   x = 7,338.09