Finding the Third Proportional to 1,089.75 and 2,358.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,089.75 : 2,358.38 = 2,358.38 : x
2. Step 2: Convert to fraction form
   1,089.75/2,358.38 = 2,358.38/x
3. Step 3: Cross multiply
   1,089.75x = 2,358.38 × 2,358.38
4. Step 4: Simplify right side
   1,089.75x = 5,561,932.64
5. Step 5: Solve for x
   x = 5,561,932.64/1,089.75
6. Step 6: Final answer
   x = 5,103.86