Finding the Third Proportional to 1,467 and 3,178.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,467 : 3,178.69 = 3,178.69 : x
2. Step 2: Convert to fraction form
   1,467/3,178.69 = 3,178.69/x
3. Step 3: Cross multiply
   1,467x = 3,178.69 × 3,178.69
4. Step 4: Simplify right side
   1,467x = 10,104,054.22
5. Step 5: Solve for x
   x = 10,104,054.22/1,467
6. Step 6: Final answer
   x = 6,887.56