Finding the Third Proportional to 16,530 and 25,606

Step by Step Solution

1. Step 1: Write the proportion equation
   16,530 : 25,606 = 25,606 : x
2. Step 2: Convert to fraction form
   16,530/25,606 = 25,606/x
3. Step 3: Cross multiply
   16,530x = 25,606 × 25,606
4. Step 4: Simplify right side
   16,530x = 655,667,236
5. Step 5: Solve for x
   x = 655,667,236/16,530
6. Step 6: Final answer
   x = 39,665.29