Finding the Third Proportional to 1,689.71 and 3,708.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,689.71 : 3,708.49 = 3,708.49 : x
2. Step 2: Convert to fraction form
   1,689.71/3,708.49 = 3,708.49/x
3. Step 3: Cross multiply
   1,689.71x = 3,708.49 × 3,708.49
4. Step 4: Simplify right side
   1,689.71x = 13,752,914.30
5. Step 5: Solve for x
   x = 13,752,914.30/1,689.71
6. Step 6: Final answer
   x = 8,139.19