Finding the Third Proportional to 21,408 and 28,414

Step by Step Solution

1. Step 1: Write the proportion equation
   21,408 : 28,414 = 28,414 : x
2. Step 2: Convert to fraction form
   21,408/28,414 = 28,414/x
3. Step 3: Cross multiply
   21,408x = 28,414 × 28,414
4. Step 4: Simplify right side
   21,408x = 807,355,396
5. Step 5: Solve for x
   x = 807,355,396/21,408
6. Step 6: Final answer
   x = 37,712.79