Finding the Third Proportional to 496 and 1,083.06

Step by Step Solution

1. Step 1: Write the proportion equation
   496 : 1,083.06 = 1,083.06 : x
2. Step 2: Convert to fraction form
   496/1,083.06 = 1,083.06/x
3. Step 3: Cross multiply
   496x = 1,083.06 × 1,083.06
4. Step 4: Simplify right side
   496x = 1,173,024.38
5. Step 5: Solve for x
   x = 1,173,024.38/496
6. Step 6: Final answer
   x = 2,364.97