Finding the Third Proportional to 6,535.69 and 7,507.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,535.69 : 7,507.69 = 7,507.69 : x
2. Step 2: Convert to fraction form
   6,535.69/7,507.69 = 7,507.69/x
3. Step 3: Cross multiply
   6,535.69x = 7,507.69 × 7,507.69
4. Step 4: Simplify right side
   6,535.69x = 56,365,371.60
5. Step 5: Solve for x
   x = 56,365,371.60/6,535.69
6. Step 6: Final answer
   x = 8,624.25