Finding the Third Proportional to 17,778 and 25,406

Step by Step Solution

1. Step 1: Write the proportion equation
   17,778 : 25,406 = 25,406 : x
2. Step 2: Convert to fraction form
   17,778/25,406 = 25,406/x
3. Step 3: Cross multiply
   17,778x = 25,406 × 25,406
4. Step 4: Simplify right side
   17,778x = 645,464,836
5. Step 5: Solve for x
   x = 645,464,836/17,778
6. Step 6: Final answer
   x = 36,306.94