Finding the Third Proportional to 13,740 and 30,456

Step by Step Solution

1. Step 1: Write the proportion equation
   13,740 : 30,456 = 30,456 : x
2. Step 2: Convert to fraction form
   13,740/30,456 = 30,456/x
3. Step 3: Cross multiply
   13,740x = 30,456 × 30,456
4. Step 4: Simplify right side
   13,740x = 927,567,936
5. Step 5: Solve for x
   x = 927,567,936/13,740
6. Step 6: Final answer
   x = 67,508.58