Finding the Third Proportional to 6,504 and 7,116

Step by Step Solution

1. Step 1: Write the proportion equation
   6,504 : 7,116 = 7,116 : x
2. Step 2: Convert to fraction form
   6,504/7,116 = 7,116/x
3. Step 3: Cross multiply
   6,504x = 7,116 × 7,116
4. Step 4: Simplify right side
   6,504x = 50,637,456
5. Step 5: Solve for x
   x = 50,637,456/6,504
6. Step 6: Final answer
   x = 7,785.59