Finding the Third Proportional to 1,414 and 3,404.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414 : 3,404.50 = 3,404.50 : x
2. Step 2: Convert to fraction form
   1,414/3,404.50 = 3,404.50/x
3. Step 3: Cross multiply
   1,414x = 3,404.50 × 3,404.50
4. Step 4: Simplify right side
   1,414x = 11,590,620.25
5. Step 5: Solve for x
   x = 11,590,620.25/1,414
6. Step 6: Final answer
   x = 8,197.04