Finding the Third Proportional to 6,510 and 13,404

Step by Step Solution

1. Step 1: Write the proportion equation
   6,510 : 13,404 = 13,404 : x
2. Step 2: Convert to fraction form
   6,510/13,404 = 13,404/x
3. Step 3: Cross multiply
   6,510x = 13,404 × 13,404
4. Step 4: Simplify right side
   6,510x = 179,667,216
5. Step 5: Solve for x
   x = 179,667,216/6,510
6. Step 6: Final answer
   x = 27,598.65