Finding the Third Proportional to 4,134.80 and 8,964.42

Step by Step Solution

1. Step 1: Write the proportion equation
   4,134.80 : 8,964.42 = 8,964.42 : x
2. Step 2: Convert to fraction form
   4,134.80/8,964.42 = 8,964.42/x
3. Step 3: Cross multiply
   4,134.80x = 8,964.42 × 8,964.42
4. Step 4: Simplify right side
   4,134.80x = 80,360,859.55
5. Step 5: Solve for x
   x = 80,360,859.55/4,134.80
6. Step 6: Final answer
   x = 19,435.26