Finding the Third Proportional to 1,618 and 1,736

Step by Step Solution

1. Step 1: Write the proportion equation
   1,618 : 1,736 = 1,736 : x
2. Step 2: Convert to fraction form
   1,618/1,736 = 1,736/x
3. Step 3: Cross multiply
   1,618x = 1,736 × 1,736
4. Step 4: Simplify right side
   1,618x = 3,013,696
5. Step 5: Solve for x
   x = 3,013,696/1,618
6. Step 6: Final answer
   x = 1,862.61