Finding the Third Proportional to 6,504.75 and 7,112.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,504.75 : 7,112.25 = 7,112.25 : x
2. Step 2: Convert to fraction form
   6,504.75/7,112.25 = 7,112.25/x
3. Step 3: Cross multiply
   6,504.75x = 7,112.25 × 7,112.25
4. Step 4: Simplify right side
   6,504.75x = 50,584,100.06
5. Step 5: Solve for x
   x = 50,584,100.06/6,504.75
6. Step 6: Final answer
   x = 7,776.49