Finding the Third Proportional to 21,175 and 45,164

Step by Step Solution

1. Step 1: Write the proportion equation
   21,175 : 45,164 = 45,164 : x
2. Step 2: Convert to fraction form
   21,175/45,164 = 45,164/x
3. Step 3: Cross multiply
   21,175x = 45,164 × 45,164
4. Step 4: Simplify right side
   21,175x = 2,039,786,896
5. Step 5: Solve for x
   x = 2,039,786,896/21,175
6. Step 6: Final answer
   x = 96,329.96