Finding the Third Proportional to 1,427.63 and 3,133.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,427.63 : 3,133.69 = 3,133.69 : x
2. Step 2: Convert to fraction form
   1,427.63/3,133.69 = 3,133.69/x
3. Step 3: Cross multiply
   1,427.63x = 3,133.69 × 3,133.69
4. Step 4: Simplify right side
   1,427.63x = 9,819,997.35
5. Step 5: Solve for x
   x = 9,819,997.35/1,427.63
6. Step 6: Final answer
   x = 6,878.56