Finding the Third Proportional to 5,649 and 10,083

Step by Step Solution

1. Step 1: Write the proportion equation
   5,649 : 10,083 = 10,083 : x
2. Step 2: Convert to fraction form
   5,649/10,083 = 10,083/x
3. Step 3: Cross multiply
   5,649x = 10,083 × 10,083
4. Step 4: Simplify right side
   5,649x = 101,666,889
5. Step 5: Solve for x
   x = 101,666,889/5,649
6. Step 6: Final answer
   x = 17,997.33