Finding the Third Proportional to 1,683.56 and 3,659.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,683.56 : 3,659.06 = 3,659.06 : x
2. Step 2: Convert to fraction form
   1,683.56/3,659.06 = 3,659.06/x
3. Step 3: Cross multiply
   1,683.56x = 3,659.06 × 3,659.06
4. Step 4: Simplify right side
   1,683.56x = 13,388,738.38
5. Step 5: Solve for x
   x = 13,388,738.38/1,683.56
6. Step 6: Final answer
   x = 7,952.62