Finding the Third Proportional to 815.13 and 1,262.69

Step by Step Solution

1. Step 1: Write the proportion equation
   815.13 : 1,262.69 = 1,262.69 : x
2. Step 2: Convert to fraction form
   815.13/1,262.69 = 1,262.69/x
3. Step 3: Cross multiply
   815.13x = 1,262.69 × 1,262.69
4. Step 4: Simplify right side
   815.13x = 1,594,379.72
5. Step 5: Solve for x
   x = 1,594,379.72/815.13
6. Step 6: Final answer
   x = 1,955.99