Finding the Third Proportional to 518.25 and 1,089.38

Step by Step Solution

1. Step 1: Write the proportion equation
   518.25 : 1,089.38 = 1,089.38 : x
2. Step 2: Convert to fraction form
   518.25/1,089.38 = 1,089.38/x
3. Step 3: Cross multiply
   518.25x = 1,089.38 × 1,089.38
4. Step 4: Simplify right side
   518.25x = 1,186,737.89
5. Step 5: Solve for x
   x = 1,186,737.89/518.25
6. Step 6: Final answer
   x = 2,289.89