Finding the Third Proportional to 1,089 and 1,609.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,089 : 1,609.50 = 1,609.50 : x
2. Step 2: Convert to fraction form
   1,089/1,609.50 = 1,609.50/x
3. Step 3: Cross multiply
   1,089x = 1,609.50 × 1,609.50
4. Step 4: Simplify right side
   1,089x = 2,590,490.25
5. Step 5: Solve for x
   x = 2,590,490.25/1,089
6. Step 6: Final answer
   x = 2,378.78