Finding the Third Proportional to 5,038 and 10,661

Step by Step Solution

1. Step 1: Write the proportion equation
   5,038 : 10,661 = 10,661 : x
2. Step 2: Convert to fraction form
   5,038/10,661 = 10,661/x
3. Step 3: Cross multiply
   5,038x = 10,661 × 10,661
4. Step 4: Simplify right side
   5,038x = 113,656,921
5. Step 5: Solve for x
   x = 113,656,921/5,038
6. Step 6: Final answer
   x = 22,559.93