Finding the Third Proportional to 5,377 and 10,268

Step by Step Solution

1. Step 1: Write the proportion equation
   5,377 : 10,268 = 10,268 : x
2. Step 2: Convert to fraction form
   5,377/10,268 = 10,268/x
3. Step 3: Cross multiply
   5,377x = 10,268 × 10,268
4. Step 4: Simplify right side
   5,377x = 105,431,824
5. Step 5: Solve for x
   x = 105,431,824/5,377
6. Step 6: Final answer
   x = 19,607.93