Finding the Third Proportional to 6,377 and 13,514

Step by Step Solution

1. Step 1: Write the proportion equation
   6,377 : 13,514 = 13,514 : x
2. Step 2: Convert to fraction form
   6,377/13,514 = 13,514/x
3. Step 3: Cross multiply
   6,377x = 13,514 × 13,514
4. Step 4: Simplify right side
   6,377x = 182,628,196
5. Step 5: Solve for x
   x = 182,628,196/6,377
6. Step 6: Final answer
   x = 28,638.58