Finding the Third Proportional to 35,027 and 76,008

Step by Step Solution

1. Step 1: Write the proportion equation
   35,027 : 76,008 = 76,008 : x
2. Step 2: Convert to fraction form
   35,027/76,008 = 76,008/x
3. Step 3: Cross multiply
   35,027x = 76,008 × 76,008
4. Step 4: Simplify right side
   35,027x = 5,777,216,064
5. Step 5: Solve for x
   x = 5,777,216,064/35,027
6. Step 6: Final answer
   x = 164,936.08