Finding the Third Proportional to 3,196 and 3,658

Step by Step Solution

1. Step 1: Write the proportion equation
   3,196 : 3,658 = 3,658 : x
2. Step 2: Convert to fraction form
   3,196/3,658 = 3,658/x
3. Step 3: Cross multiply
   3,196x = 3,658 × 3,658
4. Step 4: Simplify right side
   3,196x = 13,380,964
5. Step 5: Solve for x
   x = 13,380,964/3,196
6. Step 6: Final answer
   x = 4,186.78