Finding the Third Proportional to 9,646.59 and 20,872.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,646.59 : 20,872.69 = 20,872.69 : x
2. Step 2: Convert to fraction form
   9,646.59/20,872.69 = 20,872.69/x
3. Step 3: Cross multiply
   9,646.59x = 20,872.69 × 20,872.69
4. Step 4: Simplify right side
   9,646.59x = 435,669,083.47
5. Step 5: Solve for x
   x = 435,669,083.47/9,646.59
6. Step 6: Final answer
   x = 45,163.00