Finding the Third Proportional to 10,105 and 10,807

Step by Step Solution

1. Step 1: Write the proportion equation
   10,105 : 10,807 = 10,807 : x
2. Step 2: Convert to fraction form
   10,105/10,807 = 10,807/x
3. Step 3: Cross multiply
   10,105x = 10,807 × 10,807
4. Step 4: Simplify right side
   10,105x = 116,791,249
5. Step 5: Solve for x
   x = 116,791,249/10,105
6. Step 6: Final answer
   x = 11,557.77