Finding the Third Proportional to 16,138 and 35,036

Step by Step Solution

1. Step 1: Write the proportion equation
   16,138 : 35,036 = 35,036 : x
2. Step 2: Convert to fraction form
   16,138/35,036 = 35,036/x
3. Step 3: Cross multiply
   16,138x = 35,036 × 35,036
4. Step 4: Simplify right side
   16,138x = 1,227,521,296
5. Step 5: Solve for x
   x = 1,227,521,296/16,138
6. Step 6: Final answer
   x = 76,064.03