Finding the Third Proportional to 21,540 and 45,564

Step by Step Solution

1. Step 1: Write the proportion equation
   21,540 : 45,564 = 45,564 : x
2. Step 2: Convert to fraction form
   21,540/45,564 = 45,564/x
3. Step 3: Cross multiply
   21,540x = 45,564 × 45,564
4. Step 4: Simplify right side
   21,540x = 2,076,078,096
5. Step 5: Solve for x
   x = 2,076,078,096/21,540
6. Step 6: Final answer
   x = 96,382.46