Finding the Third Proportional to 16,176 and 25,972

Step by Step Solution

1. Step 1: Write the proportion equation
   16,176 : 25,972 = 25,972 : x
2. Step 2: Convert to fraction form
   16,176/25,972 = 25,972/x
3. Step 3: Cross multiply
   16,176x = 25,972 × 25,972
4. Step 4: Simplify right side
   16,176x = 674,544,784
5. Step 5: Solve for x
   x = 674,544,784/16,176
6. Step 6: Final answer
   x = 41,700.35