Finding the Third Proportional to 1,265.50 and 1,909

Step by Step Solution

1. Step 1: Write the proportion equation
   1,265.50 : 1,909 = 1,909 : x
2. Step 2: Convert to fraction form
   1,265.50/1,909 = 1,909/x
3. Step 3: Cross multiply
   1,265.50x = 1,909 × 1,909
4. Step 4: Simplify right side
   1,265.50x = 3,644,281
5. Step 5: Solve for x
   x = 3,644,281/1,265.50
6. Step 6: Final answer
   x = 2,879.72