Finding the Third Proportional to 34,866 and 76,770

Step by Step Solution

1. Step 1: Write the proportion equation
   34,866 : 76,770 = 76,770 : x
2. Step 2: Convert to fraction form
   34,866/76,770 = 76,770/x
3. Step 3: Cross multiply
   34,866x = 76,770 × 76,770
4. Step 4: Simplify right side
   34,866x = 5,893,632,900
5. Step 5: Solve for x
   x = 5,893,632,900/34,866
6. Step 6: Final answer
   x = 169,036.68