Finding the Third Proportional to 16,902 and 25,865

Step by Step Solution

1. Step 1: Write the proportion equation
   16,902 : 25,865 = 25,865 : x
2. Step 2: Convert to fraction form
   16,902/25,865 = 25,865/x
3. Step 3: Cross multiply
   16,902x = 25,865 × 25,865
4. Step 4: Simplify right side
   16,902x = 668,998,225
5. Step 5: Solve for x
   x = 668,998,225/16,902
6. Step 6: Final answer
   x = 39,581.01