Finding the Third Proportional to 6,514.78 and 12,705.56

Step by Step Solution

1. Step 1: Write the proportion equation
   6,514.78 : 12,705.56 = 12,705.56 : x
2. Step 2: Convert to fraction form
   6,514.78/12,705.56 = 12,705.56/x
3. Step 3: Cross multiply
   6,514.78x = 12,705.56 × 12,705.56
4. Step 4: Simplify right side
   6,514.78x = 161,431,318.44
5. Step 5: Solve for x
   x = 161,431,318.44/6,514.78
6. Step 6: Final answer
   x = 24,779.24