Finding the Third Proportional to 1,730.81 and 3,707.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,730.81 : 3,707.72 = 3,707.72 : x
2. Step 2: Convert to fraction form
   1,730.81/3,707.72 = 3,707.72/x
3. Step 3: Cross multiply
   1,730.81x = 3,707.72 × 3,707.72
4. Step 4: Simplify right side
   1,730.81x = 13,747,178.33
5. Step 5: Solve for x
   x = 13,747,178.33/1,730.81
6. Step 6: Final answer
   x = 7,942.62