Finding the Third Proportional to 32,404 and 41,406

Step by Step Solution

1. Step 1: Write the proportion equation
   32,404 : 41,406 = 41,406 : x
2. Step 2: Convert to fraction form
   32,404/41,406 = 41,406/x
3. Step 3: Cross multiply
   32,404x = 41,406 × 41,406
4. Step 4: Simplify right side
   32,404x = 1,714,456,836
5. Step 5: Solve for x
   x = 1,714,456,836/32,404
6. Step 6: Final answer
   x = 52,908.80