Finding the Third Proportional to 35,128 and 76,112

Step by Step Solution

1. Step 1: Write the proportion equation
   35,128 : 76,112 = 76,112 : x
2. Step 2: Convert to fraction form
   35,128/76,112 = 76,112/x
3. Step 3: Cross multiply
   35,128x = 76,112 × 76,112
4. Step 4: Simplify right side
   35,128x = 5,793,036,544
5. Step 5: Solve for x
   x = 5,793,036,544/35,128
6. Step 6: Final answer
   x = 164,912.22