Finding the Third Proportional to 15,380 and 33,770

Step by Step Solution

1. Step 1: Write the proportion equation
   15,380 : 33,770 = 33,770 : x
2. Step 2: Convert to fraction form
   15,380/33,770 = 33,770/x
3. Step 3: Cross multiply
   15,380x = 33,770 × 33,770
4. Step 4: Simplify right side
   15,380x = 1,140,412,900
5. Step 5: Solve for x
   x = 1,140,412,900/15,380
6. Step 6: Final answer
   x = 74,149.08