Finding the Third Proportional to 9,585 and 20,950

Step by Step Solution

1. Step 1: Write the proportion equation
   9,585 : 20,950 = 20,950 : x
2. Step 2: Convert to fraction form
   9,585/20,950 = 20,950/x
3. Step 3: Cross multiply
   9,585x = 20,950 × 20,950
4. Step 4: Simplify right side
   9,585x = 438,902,500
5. Step 5: Solve for x
   x = 438,902,500/9,585
6. Step 6: Final answer
   x = 45,790.56