Finding the Third Proportional to 16,866 and 25,205

Step by Step Solution

1. Step 1: Write the proportion equation
   16,866 : 25,205 = 25,205 : x
2. Step 2: Convert to fraction form
   16,866/25,205 = 25,205/x
3. Step 3: Cross multiply
   16,866x = 25,205 × 25,205
4. Step 4: Simplify right side
   16,866x = 635,292,025
5. Step 5: Solve for x
   x = 635,292,025/16,866
6. Step 6: Final answer
   x = 37,667.02