Finding the Third Proportional to 4,691 and 10,105

Step by Step Solution

1. Step 1: Write the proportion equation
   4,691 : 10,105 = 10,105 : x
2. Step 2: Convert to fraction form
   4,691/10,105 = 10,105/x
3. Step 3: Cross multiply
   4,691x = 10,105 × 10,105
4. Step 4: Simplify right side
   4,691x = 102,111,025
5. Step 5: Solve for x
   x = 102,111,025/4,691
6. Step 6: Final answer
   x = 21,767.43