Finding the Third Proportional to 24,678 and 32,401

Step by Step Solution

1. Step 1: Write the proportion equation
   24,678 : 32,401 = 32,401 : x
2. Step 2: Convert to fraction form
   24,678/32,401 = 32,401/x
3. Step 3: Cross multiply
   24,678x = 32,401 × 32,401
4. Step 4: Simplify right side
   24,678x = 1,049,824,801
5. Step 5: Solve for x
   x = 1,049,824,801/24,678
6. Step 6: Final answer
   x = 42,540.92