Finding the Third Proportional to 814.52 and 1,153.30

Step by Step Solution

1. Step 1: Write the proportion equation
   814.52 : 1,153.30 = 1,153.30 : x
2. Step 2: Convert to fraction form
   814.52/1,153.30 = 1,153.30/x
3. Step 3: Cross multiply
   814.52x = 1,153.30 × 1,153.30
4. Step 4: Simplify right side
   814.52x = 1,330,102.69
5. Step 5: Solve for x
   x = 1,330,102.69/814.52
6. Step 6: Final answer
   x = 1,632.99