Finding the Third Proportional to 1,089 and 1,433.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,089 : 1,433.25 = 1,433.25 : x
2. Step 2: Convert to fraction form
   1,089/1,433.25 = 1,433.25/x
3. Step 3: Cross multiply
   1,089x = 1,433.25 × 1,433.25
4. Step 4: Simplify right side
   1,089x = 2,054,205.56
5. Step 5: Solve for x
   x = 2,054,205.56/1,089
6. Step 6: Final answer
   x = 1,886.32