Finding the Third Proportional to 34,736 and 76,008

Step by Step Solution

1. Step 1: Write the proportion equation
   34,736 : 76,008 = 76,008 : x
2. Step 2: Convert to fraction form
   34,736/76,008 = 76,008/x
3. Step 3: Cross multiply
   34,736x = 76,008 × 76,008
4. Step 4: Simplify right side
   34,736x = 5,777,216,064
5. Step 5: Solve for x
   x = 5,777,216,064/34,736
6. Step 6: Final answer
   x = 166,317.83