Finding the Third Proportional to 1,686.66 and 3,508.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,686.66 : 3,508.31 = 3,508.31 : x
2. Step 2: Convert to fraction form
   1,686.66/3,508.31 = 3,508.31/x
3. Step 3: Cross multiply
   1,686.66x = 3,508.31 × 3,508.31
4. Step 4: Simplify right side
   1,686.66x = 12,308,256.60
5. Step 5: Solve for x
   x = 12,308,256.60/1,686.66
6. Step 6: Final answer
   x = 7,297.43