Finding the Third Proportional to 16,186 and 25,433

Step by Step Solution

1. Step 1: Write the proportion equation
   16,186 : 25,433 = 25,433 : x
2. Step 2: Convert to fraction form
   16,186/25,433 = 25,433/x
3. Step 3: Cross multiply
   16,186x = 25,433 × 25,433
4. Step 4: Simplify right side
   16,186x = 646,837,489
5. Step 5: Solve for x
   x = 646,837,489/16,186
6. Step 6: Final answer
   x = 39,962.78