Finding the Third Proportional to 20,585 and 43,323

Step by Step Solution

1. Step 1: Write the proportion equation
   20,585 : 43,323 = 43,323 : x
2. Step 2: Convert to fraction form
   20,585/43,323 = 43,323/x
3. Step 3: Cross multiply
   20,585x = 43,323 × 43,323
4. Step 4: Simplify right side
   20,585x = 1,876,882,329
5. Step 5: Solve for x
   x = 1,876,882,329/20,585
6. Step 6: Final answer
   x = 91,177.18