Finding the Third Proportional to 5,142 and 10,797

Step by Step Solution

1. Step 1: Write the proportion equation
   5,142 : 10,797 = 10,797 : x
2. Step 2: Convert to fraction form
   5,142/10,797 = 10,797/x
3. Step 3: Cross multiply
   5,142x = 10,797 × 10,797
4. Step 4: Simplify right side
   5,142x = 116,575,209
5. Step 5: Solve for x
   x = 116,575,209/5,142
6. Step 6: Final answer
   x = 22,671.18