Finding the Third Proportional to 4,815 and 10,267

Step by Step Solution

1. Step 1: Write the proportion equation
   4,815 : 10,267 = 10,267 : x
2. Step 2: Convert to fraction form
   4,815/10,267 = 10,267/x
3. Step 3: Cross multiply
   4,815x = 10,267 × 10,267
4. Step 4: Simplify right side
   4,815x = 105,411,289
5. Step 5: Solve for x
   x = 105,411,289/4,815
6. Step 6: Final answer
   x = 21,892.27