Finding the Third Proportional to 1,565.50 and 3,682

Step by Step Solution

1. Step 1: Write the proportion equation
   1,565.50 : 3,682 = 3,682 : x
2. Step 2: Convert to fraction form
   1,565.50/3,682 = 3,682/x
3. Step 3: Cross multiply
   1,565.50x = 3,682 × 3,682
4. Step 4: Simplify right side
   1,565.50x = 13,557,124
5. Step 5: Solve for x
   x = 13,557,124/1,565.50
6. Step 6: Final answer
   x = 8,659.93