Finding the Third Proportional to 32,404 and 41,407

Step by Step Solution

1. Step 1: Write the proportion equation
   32,404 : 41,407 = 41,407 : x
2. Step 2: Convert to fraction form
   32,404/41,407 = 41,407/x
3. Step 3: Cross multiply
   32,404x = 41,407 × 41,407
4. Step 4: Simplify right side
   32,404x = 1,714,539,649
5. Step 5: Solve for x
   x = 1,714,539,649/32,404
6. Step 6: Final answer
   x = 52,911.36