Finding the Third Proportional to 4,850 and 10,277

Step by Step Solution

1. Step 1: Write the proportion equation
   4,850 : 10,277 = 10,277 : x
2. Step 2: Convert to fraction form
   4,850/10,277 = 10,277/x
3. Step 3: Cross multiply
   4,850x = 10,277 × 10,277
4. Step 4: Simplify right side
   4,850x = 105,616,729
5. Step 5: Solve for x
   x = 105,616,729/4,850
6. Step 6: Final answer
   x = 21,776.65