Finding the Third Proportional to 836.25 and 1,288.69

Step by Step Solution

1. Step 1: Write the proportion equation
   836.25 : 1,288.69 = 1,288.69 : x
2. Step 2: Convert to fraction form
   836.25/1,288.69 = 1,288.69/x
3. Step 3: Cross multiply
   836.25x = 1,288.69 × 1,288.69
4. Step 4: Simplify right side
   836.25x = 1,660,715.47
5. Step 5: Solve for x
   x = 1,660,715.47/836.25
6. Step 6: Final answer
   x = 1,985.91