Finding the Third Proportional to 40,770 and 84,162

Step by Step Solution

1. Step 1: Write the proportion equation
   40,770 : 84,162 = 84,162 : x
2. Step 2: Convert to fraction form
   40,770/84,162 = 84,162/x
3. Step 3: Cross multiply
   40,770x = 84,162 × 84,162
4. Step 4: Simplify right side
   40,770x = 7,083,242,244
5. Step 5: Solve for x
   x = 7,083,242,244/40,770
6. Step 6: Final answer
   x = 173,736.63