Finding the Third Proportional to 6,684 and 13,530.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,684 : 13,530.25 = 13,530.25 : x
2. Step 2: Convert to fraction form
   6,684/13,530.25 = 13,530.25/x
3. Step 3: Cross multiply
   6,684x = 13,530.25 × 13,530.25
4. Step 4: Simplify right side
   6,684x = 183,067,665.06
5. Step 5: Solve for x
   x = 183,067,665.06/6,684
6. Step 6: Final answer
   x = 27,388.94