Finding the Third Proportional to 5,673 and 10,014

Step by Step Solution

1. Step 1: Write the proportion equation
   5,673 : 10,014 = 10,014 : x
2. Step 2: Convert to fraction form
   5,673/10,014 = 10,014/x
3. Step 3: Cross multiply
   5,673x = 10,014 × 10,014
4. Step 4: Simplify right side
   5,673x = 100,280,196
5. Step 5: Solve for x
   x = 100,280,196/5,673
6. Step 6: Final answer
   x = 17,676.75