Finding the Third Proportional to 1,414.31 and 3,056.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.31 : 3,056.25 = 3,056.25 : x
2. Step 2: Convert to fraction form
   1,414.31/3,056.25 = 3,056.25/x
3. Step 3: Cross multiply
   1,414.31x = 3,056.25 × 3,056.25
4. Step 4: Simplify right side
   1,414.31x = 9,340,664.06
5. Step 5: Solve for x
   x = 9,340,664.06/1,414.31
6. Step 6: Final answer
   x = 6,604.38