Finding the Third Proportional to 21,164 and 45,243

Step by Step Solution

1. Step 1: Write the proportion equation
   21,164 : 45,243 = 45,243 : x
2. Step 2: Convert to fraction form
   21,164/45,243 = 45,243/x
3. Step 3: Cross multiply
   21,164x = 45,243 × 45,243
4. Step 4: Simplify right side
   21,164x = 2,046,929,049
5. Step 5: Solve for x
   x = 2,046,929,049/21,164
6. Step 6: Final answer
   x = 96,717.49