Finding the Third Proportional to 1,665.40 and 3,587.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,665.40 : 3,587.10 = 3,587.10 : x
2. Step 2: Convert to fraction form
   1,665.40/3,587.10 = 3,587.10/x
3. Step 3: Cross multiply
   1,665.40x = 3,587.10 × 3,587.10
4. Step 4: Simplify right side
   1,665.40x = 12,867,269.60
5. Step 5: Solve for x
   x = 12,867,269.60/1,665.40
6. Step 6: Final answer
   x = 7,726.21