Finding the Third Proportional to 13,770 and 30,144

Step by Step Solution

1. Step 1: Write the proportion equation
   13,770 : 30,144 = 30,144 : x
2. Step 2: Convert to fraction form
   13,770/30,144 = 30,144/x
3. Step 3: Cross multiply
   13,770x = 30,144 × 30,144
4. Step 4: Simplify right side
   13,770x = 908,660,736
5. Step 5: Solve for x
   x = 908,660,736/13,770
6. Step 6: Final answer
   x = 65,988.43