Finding the Third Proportional to 25,678 and 34,346

Step by Step Solution

1. Step 1: Write the proportion equation
   25,678 : 34,346 = 34,346 : x
2. Step 2: Convert to fraction form
   25,678/34,346 = 34,346/x
3. Step 3: Cross multiply
   25,678x = 34,346 × 34,346
4. Step 4: Simplify right side
   25,678x = 1,179,647,716
5. Step 5: Solve for x
   x = 1,179,647,716/25,678
6. Step 6: Final answer
   x = 45,940.02