Finding the Third Proportional to 6,306 and 13,845

Step by Step Solution

1. Step 1: Write the proportion equation
   6,306 : 13,845 = 13,845 : x
2. Step 2: Convert to fraction form
   6,306/13,845 = 13,845/x
3. Step 3: Cross multiply
   6,306x = 13,845 × 13,845
4. Step 4: Simplify right side
   6,306x = 191,684,025
5. Step 5: Solve for x
   x = 191,684,025/6,306
6. Step 6: Final answer
   x = 30,397.09