Finding the Third Proportional to 13,678 and 30,054

Step by Step Solution

1. Step 1: Write the proportion equation
   13,678 : 30,054 = 30,054 : x
2. Step 2: Convert to fraction form
   13,678/30,054 = 30,054/x
3. Step 3: Cross multiply
   13,678x = 30,054 × 30,054
4. Step 4: Simplify right side
   13,678x = 903,242,916
5. Step 5: Solve for x
   x = 903,242,916/13,678
6. Step 6: Final answer
   x = 66,036.18