Finding the Third Proportional to 4,772 and 10,267

Step by Step Solution

1. Step 1: Write the proportion equation
   4,772 : 10,267 = 10,267 : x
2. Step 2: Convert to fraction form
   4,772/10,267 = 10,267/x
3. Step 3: Cross multiply
   4,772x = 10,267 × 10,267
4. Step 4: Simplify right side
   4,772x = 105,411,289
5. Step 5: Solve for x
   x = 105,411,289/4,772
6. Step 6: Final answer
   x = 22,089.54