Finding the Third Proportional to 6,501.75 and 7,109.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,501.75 : 7,109.25 = 7,109.25 : x
2. Step 2: Convert to fraction form
   6,501.75/7,109.25 = 7,109.25/x
3. Step 3: Cross multiply
   6,501.75x = 7,109.25 × 7,109.25
4. Step 4: Simplify right side
   6,501.75x = 50,541,435.56
5. Step 5: Solve for x
   x = 50,541,435.56/6,501.75
6. Step 6: Final answer
   x = 7,773.51