Finding the Third Proportional to 6,780 and 12,435

Step by Step Solution

1. Step 1: Write the proportion equation
   6,780 : 12,435 = 12,435 : x
2. Step 2: Convert to fraction form
   6,780/12,435 = 12,435/x
3. Step 3: Cross multiply
   6,780x = 12,435 × 12,435
4. Step 4: Simplify right side
   6,780x = 154,629,225
5. Step 5: Solve for x
   x = 154,629,225/6,780
6. Step 6: Final answer
   x = 22,806.67