Finding the Third Proportional to 16,380 and 35,096

Step by Step Solution

1. Step 1: Write the proportion equation
   16,380 : 35,096 = 35,096 : x
2. Step 2: Convert to fraction form
   16,380/35,096 = 35,096/x
3. Step 3: Cross multiply
   16,380x = 35,096 × 35,096
4. Step 4: Simplify right side
   16,380x = 1,231,729,216
5. Step 5: Solve for x
   x = 1,231,729,216/16,380
6. Step 6: Final answer
   x = 75,197.14