Finding the Third Proportional to 2,613.94 and 4,165.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,613.94 : 4,165.88 = 4,165.88 : x
2. Step 2: Convert to fraction form
   2,613.94/4,165.88 = 4,165.88/x
3. Step 3: Cross multiply
   2,613.94x = 4,165.88 × 4,165.88
4. Step 4: Simplify right side
   2,613.94x = 17,354,514.52
5. Step 5: Solve for x
   x = 17,354,514.52/2,613.94
6. Step 6: Final answer
   x = 6,639.22