Finding the Third Proportional to 4,697 and 10,257

Step by Step Solution

1. Step 1: Write the proportion equation
   4,697 : 10,257 = 10,257 : x
2. Step 2: Convert to fraction form
   4,697/10,257 = 10,257/x
3. Step 3: Cross multiply
   4,697x = 10,257 × 10,257
4. Step 4: Simplify right side
   4,697x = 105,206,049
5. Step 5: Solve for x
   x = 105,206,049/4,697
6. Step 6: Final answer
   x = 22,398.56