Finding the Third Proportional to 20,395 and 45,164

Step by Step Solution

1. Step 1: Write the proportion equation
   20,395 : 45,164 = 45,164 : x
2. Step 2: Convert to fraction form
   20,395/45,164 = 45,164/x
3. Step 3: Cross multiply
   20,395x = 45,164 × 45,164
4. Step 4: Simplify right side
   20,395x = 2,039,786,896
5. Step 5: Solve for x
   x = 2,039,786,896/20,395
6. Step 6: Final answer
   x = 100,014.07