Finding the Third Proportional to 493.50 and 1,083

Step by Step Solution

1. Step 1: Write the proportion equation
   493.50 : 1,083 = 1,083 : x
2. Step 2: Convert to fraction form
   493.50/1,083 = 1,083/x
3. Step 3: Cross multiply
   493.50x = 1,083 × 1,083
4. Step 4: Simplify right side
   493.50x = 1,172,889
5. Step 5: Solve for x
   x = 1,172,889/493.50
6. Step 6: Final answer
   x = 2,376.67