Finding the Third Proportional to 16,005 and 25,323

Step by Step Solution

1. Step 1: Write the proportion equation
   16,005 : 25,323 = 25,323 : x
2. Step 2: Convert to fraction form
   16,005/25,323 = 25,323/x
3. Step 3: Cross multiply
   16,005x = 25,323 × 25,323
4. Step 4: Simplify right side
   16,005x = 641,254,329
5. Step 5: Solve for x
   x = 641,254,329/16,005
6. Step 6: Final answer
   x = 40,065.87