Finding the Third Proportional to 32,400 and 41,400

Step by Step Solution

1. Step 1: Write the proportion equation
   32,400 : 41,400 = 41,400 : x
2. Step 2: Convert to fraction form
   32,400/41,400 = 41,400/x
3. Step 3: Cross multiply
   32,400x = 41,400 × 41,400
4. Step 4: Simplify right side
   32,400x = 1,713,960,000
5. Step 5: Solve for x
   x = 1,713,960,000/32,400
6. Step 6: Final answer
   x = 52,900