Finding the Third Proportional to 1,089.88 and 2,329.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,089.88 : 2,329.38 = 2,329.38 : x
2. Step 2: Convert to fraction form
   1,089.88/2,329.38 = 2,329.38/x
3. Step 3: Cross multiply
   1,089.88x = 2,329.38 × 2,329.38
4. Step 4: Simplify right side
   1,089.88x = 5,425,987.89
5. Step 5: Solve for x
   x = 5,425,987.89/1,089.88
6. Step 6: Final answer
   x = 4,978.54