Finding the Third Proportional to 21,408 and 32,400

Step by Step Solution

1. Step 1: Write the proportion equation
   21,408 : 32,400 = 32,400 : x
2. Step 2: Convert to fraction form
   21,408/32,400 = 32,400/x
3. Step 3: Cross multiply
   21,408x = 32,400 × 32,400
4. Step 4: Simplify right side
   21,408x = 1,049,760,000
5. Step 5: Solve for x
   x = 1,049,760,000/21,408
6. Step 6: Final answer
   x = 49,035.87