Finding the Third Proportional to 40,770 and 89,016

Step by Step Solution

1. Step 1: Write the proportion equation
   40,770 : 89,016 = 89,016 : x
2. Step 2: Convert to fraction form
   40,770/89,016 = 89,016/x
3. Step 3: Cross multiply
   40,770x = 89,016 × 89,016
4. Step 4: Simplify right side
   40,770x = 7,923,848,256
5. Step 5: Solve for x
   x = 7,923,848,256/40,770
6. Step 6: Final answer
   x = 194,354.88