Finding the Third Proportional to 6,377.63 and 13,514.06

Step by Step Solution

1. Step 1: Write the proportion equation
   6,377.63 : 13,514.06 = 13,514.06 : x
2. Step 2: Convert to fraction form
   6,377.63/13,514.06 = 13,514.06/x
3. Step 3: Cross multiply
   6,377.63x = 13,514.06 × 13,514.06
4. Step 4: Simplify right side
   6,377.63x = 182,629,885.25
5. Step 5: Solve for x
   x = 182,629,885.25/6,377.63
6. Step 6: Final answer
   x = 28,636.03