Finding the Third Proportional to 5,038 and 10,649

Step by Step Solution

1. Step 1: Write the proportion equation
   5,038 : 10,649 = 10,649 : x
2. Step 2: Convert to fraction form
   5,038/10,649 = 10,649/x
3. Step 3: Cross multiply
   5,038x = 10,649 × 10,649
4. Step 4: Simplify right side
   5,038x = 113,401,201
5. Step 5: Solve for x
   x = 113,401,201/5,038
6. Step 6: Final answer
   x = 22,509.17