Finding the Third Proportional to 514.27 and 1,109.53

Step by Step Solution

1. Step 1: Write the proportion equation
   514.27 : 1,109.53 = 1,109.53 : x
2. Step 2: Convert to fraction form
   514.27/1,109.53 = 1,109.53/x
3. Step 3: Cross multiply
   514.27x = 1,109.53 × 1,109.53
4. Step 4: Simplify right side
   514.27x = 1,231,059.59
5. Step 5: Solve for x
   x = 1,231,059.59/514.27
6. Step 6: Final answer
   x = 2,393.82