Finding the Third Proportional to 1,771.88 and 2,361.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,771.88 : 2,361.38 = 2,361.38 : x
2. Step 2: Convert to fraction form
   1,771.88/2,361.38 = 2,361.38/x
3. Step 3: Cross multiply
   1,771.88x = 2,361.38 × 2,361.38
4. Step 4: Simplify right side
   1,771.88x = 5,576,091.89
5. Step 5: Solve for x
   x = 5,576,091.89/1,771.88
6. Step 6: Final answer
   x = 3,147.00