Finding the Third Proportional to 32,408 and 41,412

Step by Step Solution

1. Step 1: Write the proportion equation
   32,408 : 41,412 = 41,412 : x
2. Step 2: Convert to fraction form
   32,408/41,412 = 41,412/x
3. Step 3: Cross multiply
   32,408x = 41,412 × 41,412
4. Step 4: Simplify right side
   32,408x = 1,714,953,744
5. Step 5: Solve for x
   x = 1,714,953,744/32,408
6. Step 6: Final answer
   x = 52,917.61