Finding the Third Proportional to 6,282 and 12,405.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,282 : 12,405.38 = 12,405.38 : x
2. Step 2: Convert to fraction form
   6,282/12,405.38 = 12,405.38/x
3. Step 3: Cross multiply
   6,282x = 12,405.38 × 12,405.38
4. Step 4: Simplify right side
   6,282x = 153,893,328.89
5. Step 5: Solve for x
   x = 153,893,328.89/6,282
6. Step 6: Final answer
   x = 24,497.51