Finding the Third Proportional to 35,132 and 76,096

Step by Step Solution

1. Step 1: Write the proportion equation
   35,132 : 76,096 = 76,096 : x
2. Step 2: Convert to fraction form
   35,132/76,096 = 76,096/x
3. Step 3: Cross multiply
   35,132x = 76,096 × 76,096
4. Step 4: Simplify right side
   35,132x = 5,790,601,216
5. Step 5: Solve for x
   x = 5,790,601,216/35,132
6. Step 6: Final answer
   x = 164,824.13