Finding the Third Proportional to 1,686.38 and 3,680.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,686.38 : 3,680.72 = 3,680.72 : x
2. Step 2: Convert to fraction form
   1,686.38/3,680.72 = 3,680.72/x
3. Step 3: Cross multiply
   1,686.38x = 3,680.72 × 3,680.72
4. Step 4: Simplify right side
   1,686.38x = 13,547,690.52
5. Step 5: Solve for x
   x = 13,547,690.52/1,686.38
6. Step 6: Final answer
   x = 8,033.62