Finding the Third Proportional to 1,414.34 and 3,096.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.34 : 3,096.35 = 3,096.35 : x
2. Step 2: Convert to fraction form
   1,414.34/3,096.35 = 3,096.35/x
3. Step 3: Cross multiply
   1,414.34x = 3,096.35 × 3,096.35
4. Step 4: Simplify right side
   1,414.34x = 9,587,393.00
5. Step 5: Solve for x
   x = 9,587,393.00/1,414.34
6. Step 6: Final answer
   x = 6,778.72