Finding the Third Proportional to 16,376 and 25,406

Step by Step Solution

1. Step 1: Write the proportion equation
   16,376 : 25,406 = 25,406 : x
2. Step 2: Convert to fraction form
   16,376/25,406 = 25,406/x
3. Step 3: Cross multiply
   16,376x = 25,406 × 25,406
4. Step 4: Simplify right side
   16,376x = 645,464,836
5. Step 5: Solve for x
   x = 645,464,836/16,376
6. Step 6: Final answer
   x = 39,415.29