Finding the Third Proportional to 32,406 and 41,410

Step by Step Solution

1. Step 1: Write the proportion equation
   32,406 : 41,410 = 41,410 : x
2. Step 2: Convert to fraction form
   32,406/41,410 = 41,410/x
3. Step 3: Cross multiply
   32,406x = 41,410 × 41,410
4. Step 4: Simplify right side
   32,406x = 1,714,788,100
5. Step 5: Solve for x
   x = 1,714,788,100/32,406
6. Step 6: Final answer
   x = 52,915.76