Finding the Third Proportional to 6,527.25 and 9,511.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,527.25 : 9,511.69 = 9,511.69 : x
2. Step 2: Convert to fraction form
   6,527.25/9,511.69 = 9,511.69/x
3. Step 3: Cross multiply
   6,527.25x = 9,511.69 × 9,511.69
4. Step 4: Simplify right side
   6,527.25x = 90,472,199.10
5. Step 5: Solve for x
   x = 90,472,199.10/6,527.25
6. Step 6: Final answer
   x = 13,860.69