Finding the Third Proportional to 506.53 and 1,051.59

Step by Step Solution

1. Step 1: Write the proportion equation
   506.53 : 1,051.59 = 1,051.59 : x
2. Step 2: Convert to fraction form
   506.53/1,051.59 = 1,051.59/x
3. Step 3: Cross multiply
   506.53x = 1,051.59 × 1,051.59
4. Step 4: Simplify right side
   506.53x = 1,105,849.42
5. Step 5: Solve for x
   x = 1,105,849.42/506.53
6. Step 6: Final answer
   x = 2,183.18