Finding the Third Proportional to 1,406.74 and 3,286.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.74 : 3,286.20 = 3,286.20 : x
2. Step 2: Convert to fraction form
   1,406.74/3,286.20 = 3,286.20/x
3. Step 3: Cross multiply
   1,406.74x = 3,286.20 × 3,286.20
4. Step 4: Simplify right side
   1,406.74x = 10,799,079.63
5. Step 5: Solve for x
   x = 10,799,079.63/1,406.74
6. Step 6: Final answer
   x = 7,676.66