Finding the Third Proportional to 16,588 and 25,892

Step by Step Solution

1. Step 1: Write the proportion equation
   16,588 : 25,892 = 25,892 : x
2. Step 2: Convert to fraction form
   16,588/25,892 = 25,892/x
3. Step 3: Cross multiply
   16,588x = 25,892 × 25,892
4. Step 4: Simplify right side
   16,588x = 670,395,664
5. Step 5: Solve for x
   x = 670,395,664/16,588
6. Step 6: Final answer
   x = 40,414.50