Finding the Third Proportional to 35,198 and 76,956

Step by Step Solution

1. Step 1: Write the proportion equation
   35,198 : 76,956 = 76,956 : x
2. Step 2: Convert to fraction form
   35,198/76,956 = 76,956/x
3. Step 3: Cross multiply
   35,198x = 76,956 × 76,956
4. Step 4: Simplify right side
   35,198x = 5,922,225,936
5. Step 5: Solve for x
   x = 5,922,225,936/35,198
6. Step 6: Final answer
   x = 168,254.61