Finding the Third Proportional to 815.91 and 919.69

Step by Step Solution

1. Step 1: Write the proportion equation
   815.91 : 919.69 = 919.69 : x
2. Step 2: Convert to fraction form
   815.91/919.69 = 919.69/x
3. Step 3: Cross multiply
   815.91x = 919.69 × 919.69
4. Step 4: Simplify right side
   815.91x = 845,825.10
5. Step 5: Solve for x
   x = 845,825.10/815.91
6. Step 6: Final answer
   x = 1,036.67