Finding the Third Proportional to 1,414.13 and 3,331.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.13 : 3,331.69 = 3,331.69 : x
2. Step 2: Convert to fraction form
   1,414.13/3,331.69 = 3,331.69/x
3. Step 3: Cross multiply
   1,414.13x = 3,331.69 × 3,331.69
4. Step 4: Simplify right side
   1,414.13x = 11,100,141.60
5. Step 5: Solve for x
   x = 11,100,141.60/1,414.13
6. Step 6: Final answer
   x = 7,849.48