Finding the Third Proportional to 6,782.75 and 10,075.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,782.75 : 10,075.69 = 10,075.69 : x
2. Step 2: Convert to fraction form
   6,782.75/10,075.69 = 10,075.69/x
3. Step 3: Cross multiply
   6,782.75x = 10,075.69 × 10,075.69
4. Step 4: Simplify right side
   6,782.75x = 101,519,478.60
5. Step 5: Solve for x
   x = 101,519,478.60/6,782.75
6. Step 6: Final answer
   x = 14,967.30