Finding the Third Proportional to 21,414 and 45,420

Step by Step Solution

1. Step 1: Write the proportion equation
   21,414 : 45,420 = 45,420 : x
2. Step 2: Convert to fraction form
   21,414/45,420 = 45,420/x
3. Step 3: Cross multiply
   21,414x = 45,420 × 45,420
4. Step 4: Simplify right side
   21,414x = 2,062,976,400
5. Step 5: Solve for x
   x = 2,062,976,400/21,414
6. Step 6: Final answer
   x = 96,337.74