Finding the Third Proportional to 6,075 and 9,919.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,075 : 9,919.69 = 9,919.69 : x
2. Step 2: Convert to fraction form
   6,075/9,919.69 = 9,919.69/x
3. Step 3: Cross multiply
   6,075x = 9,919.69 × 9,919.69
4. Step 4: Simplify right side
   6,075x = 98,400,200.10
5. Step 5: Solve for x
   x = 98,400,200.10/6,075
6. Step 6: Final answer
   x = 16,197.56