Finding the Third Proportional to 5,149 and 10,663

Step by Step Solution

1. Step 1: Write the proportion equation
   5,149 : 10,663 = 10,663 : x
2. Step 2: Convert to fraction form
   5,149/10,663 = 10,663/x
3. Step 3: Cross multiply
   5,149x = 10,663 × 10,663
4. Step 4: Simplify right side
   5,149x = 113,699,569
5. Step 5: Solve for x
   x = 113,699,569/5,149
6. Step 6: Final answer
   x = 22,081.87