Finding the Third Proportional to 9,585 and 20,412

Step by Step Solution

1. Step 1: Write the proportion equation
   9,585 : 20,412 = 20,412 : x
2. Step 2: Convert to fraction form
   9,585/20,412 = 20,412/x
3. Step 3: Cross multiply
   9,585x = 20,412 × 20,412
4. Step 4: Simplify right side
   9,585x = 416,649,744
5. Step 5: Solve for x
   x = 416,649,744/9,585
6. Step 6: Final answer
   x = 43,468.94