Finding the Third Proportional to 5,193 and 10,008

Step by Step Solution

1. Step 1: Write the proportion equation
   5,193 : 10,008 = 10,008 : x
2. Step 2: Convert to fraction form
   5,193/10,008 = 10,008/x
3. Step 3: Cross multiply
   5,193x = 10,008 × 10,008
4. Step 4: Simplify right side
   5,193x = 100,160,064
5. Step 5: Solve for x
   x = 100,160,064/5,193
6. Step 6: Final answer
   x = 19,287.51