Finding the Third Proportional to 21,195 and 31,176

Step by Step Solution

1. Step 1: Write the proportion equation
   21,195 : 31,176 = 31,176 : x
2. Step 2: Convert to fraction form
   21,195/31,176 = 31,176/x
3. Step 3: Cross multiply
   21,195x = 31,176 × 31,176
4. Step 4: Simplify right side
   21,195x = 971,942,976
5. Step 5: Solve for x
   x = 971,942,976/21,195
6. Step 6: Final answer
   x = 45,857.18