Finding the Third Proportional to 1,742.06 and 3,708.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,742.06 : 3,708.56 = 3,708.56 : x
2. Step 2: Convert to fraction form
   1,742.06/3,708.56 = 3,708.56/x
3. Step 3: Cross multiply
   1,742.06x = 3,708.56 × 3,708.56
4. Step 4: Simplify right side
   1,742.06x = 13,753,435.82
5. Step 5: Solve for x
   x = 13,753,435.82/1,742.06
6. Step 6: Final answer
   x = 7,894.92