Finding the Third Proportional to 16,165 and 25,706

Step by Step Solution

1. Step 1: Write the proportion equation
   16,165 : 25,706 = 25,706 : x
2. Step 2: Convert to fraction form
   16,165/25,706 = 25,706/x
3. Step 3: Cross multiply
   16,165x = 25,706 × 25,706
4. Step 4: Simplify right side
   16,165x = 660,798,436
5. Step 5: Solve for x
   x = 660,798,436/16,165
6. Step 6: Final answer
   x = 40,878.34