Finding the Third Proportional to 10,377 and 13,644

Step by Step Solution

1. Step 1: Write the proportion equation
   10,377 : 13,644 = 13,644 : x
2. Step 2: Convert to fraction form
   10,377/13,644 = 13,644/x
3. Step 3: Cross multiply
   10,377x = 13,644 × 13,644
4. Step 4: Simplify right side
   10,377x = 186,158,736
5. Step 5: Solve for x
   x = 186,158,736/10,377
6. Step 6: Final answer
   x = 17,939.55