Finding the Third Proportional to 12,306 and 25,338

Step by Step Solution

1. Step 1: Write the proportion equation
   12,306 : 25,338 = 25,338 : x
2. Step 2: Convert to fraction form
   12,306/25,338 = 25,338/x
3. Step 3: Cross multiply
   12,306x = 25,338 × 25,338
4. Step 4: Simplify right side
   12,306x = 642,014,244
5. Step 5: Solve for x
   x = 642,014,244/12,306
6. Step 6: Final answer
   x = 52,170.83