Finding the Third Proportional to 2,678.63 and 5,613.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,678.63 : 5,613.75 = 5,613.75 : x
2. Step 2: Convert to fraction form
   2,678.63/5,613.75 = 5,613.75/x
3. Step 3: Cross multiply
   2,678.63x = 5,613.75 × 5,613.75
4. Step 4: Simplify right side
   2,678.63x = 31,514,189.06
5. Step 5: Solve for x
   x = 31,514,189.06/2,678.63
6. Step 6: Final answer
   x = 11,765.06