Finding the Third Proportional to 6,012 and 12,306

Step by Step Solution

1. Step 1: Write the proportion equation
   6,012 : 12,306 = 12,306 : x
2. Step 2: Convert to fraction form
   6,012/12,306 = 12,306/x
3. Step 3: Cross multiply
   6,012x = 12,306 × 12,306
4. Step 4: Simplify right side
   6,012x = 151,437,636
5. Step 5: Solve for x
   x = 151,437,636/6,012
6. Step 6: Final answer
   x = 25,189.23