Finding the Third Proportional to 16,177 and 35,359

Step by Step Solution

1. Step 1: Write the proportion equation
   16,177 : 35,359 = 35,359 : x
2. Step 2: Convert to fraction form
   16,177/35,359 = 35,359/x
3. Step 3: Cross multiply
   16,177x = 35,359 × 35,359
4. Step 4: Simplify right side
   16,177x = 1,250,258,881
5. Step 5: Solve for x
   x = 1,250,258,881/16,177
6. Step 6: Final answer
   x = 77,286.20