Finding the Third Proportional to 814.13 and 1,096.31

Step by Step Solution

1. Step 1: Write the proportion equation
   814.13 : 1,096.31 = 1,096.31 : x
2. Step 2: Convert to fraction form
   814.13/1,096.31 = 1,096.31/x
3. Step 3: Cross multiply
   814.13x = 1,096.31 × 1,096.31
4. Step 4: Simplify right side
   814.13x = 1,201,901.10
5. Step 5: Solve for x
   x = 1,201,901.10/814.13
6. Step 6: Final answer
   x = 1,476.31