Finding the Third Proportional to 17,662 and 25,902

Step by Step Solution

1. Step 1: Write the proportion equation
   17,662 : 25,902 = 25,902 : x
2. Step 2: Convert to fraction form
   17,662/25,902 = 25,902/x
3. Step 3: Cross multiply
   17,662x = 25,902 × 25,902
4. Step 4: Simplify right side
   17,662x = 670,913,604
5. Step 5: Solve for x
   x = 670,913,604/17,662
6. Step 6: Final answer
   x = 37,986.28