Finding the Third Proportional to 4,778 and 10,261

Step by Step Solution

1. Step 1: Write the proportion equation
   4,778 : 10,261 = 10,261 : x
2. Step 2: Convert to fraction form
   4,778/10,261 = 10,261/x
3. Step 3: Cross multiply
   4,778x = 10,261 × 10,261
4. Step 4: Simplify right side
   4,778x = 105,288,121
5. Step 5: Solve for x
   x = 105,288,121/4,778
6. Step 6: Final answer
   x = 22,036.02