Finding the Third Proportional to 35,116 and 76,052

Step by Step Solution

1. Step 1: Write the proportion equation
   35,116 : 76,052 = 76,052 : x
2. Step 2: Convert to fraction form
   35,116/76,052 = 76,052/x
3. Step 3: Cross multiply
   35,116x = 76,052 × 76,052
4. Step 4: Simplify right side
   35,116x = 5,783,906,704
5. Step 5: Solve for x
   x = 5,783,906,704/35,116
6. Step 6: Final answer
   x = 164,708.59