Finding the Third Proportional to 32,402 and 41,404

Step by Step Solution

1. Step 1: Write the proportion equation
   32,402 : 41,404 = 41,404 : x
2. Step 2: Convert to fraction form
   32,402/41,404 = 41,404/x
3. Step 3: Cross multiply
   32,402x = 41,404 × 41,404
4. Step 4: Simplify right side
   32,402x = 1,714,291,216
5. Step 5: Solve for x
   x = 1,714,291,216/32,402
6. Step 6: Final answer
   x = 52,906.96