Finding the Third Proportional to 1,607.44 and 3,514.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,607.44 : 3,514.69 = 3,514.69 : x
2. Step 2: Convert to fraction form
   1,607.44/3,514.69 = 3,514.69/x
3. Step 3: Cross multiply
   1,607.44x = 3,514.69 × 3,514.69
4. Step 4: Simplify right side
   1,607.44x = 12,353,028.22
5. Step 5: Solve for x
   x = 12,353,028.22/1,607.44
6. Step 6: Final answer
   x = 7,684.92