Finding the Third Proportional to 16,536 and 25,416

Step by Step Solution

1. Step 1: Write the proportion equation
   16,536 : 25,416 = 25,416 : x
2. Step 2: Convert to fraction form
   16,536/25,416 = 25,416/x
3. Step 3: Cross multiply
   16,536x = 25,416 × 25,416
4. Step 4: Simplify right side
   16,536x = 645,973,056
5. Step 5: Solve for x
   x = 645,973,056/16,536
6. Step 6: Final answer
   x = 39,064.65