Finding the Third Proportional to 4,774 and 10,195

Step by Step Solution

1. Step 1: Write the proportion equation
   4,774 : 10,195 = 10,195 : x
2. Step 2: Convert to fraction form
   4,774/10,195 = 10,195/x
3. Step 3: Cross multiply
   4,774x = 10,195 × 10,195
4. Step 4: Simplify right side
   4,774x = 103,938,025
5. Step 5: Solve for x
   x = 103,938,025/4,774
6. Step 6: Final answer
   x = 21,771.69