Finding the Third Proportional to 35,814 and 41,406

Step by Step Solution

1. Step 1: Write the proportion equation
   35,814 : 41,406 = 41,406 : x
2. Step 2: Convert to fraction form
   35,814/41,406 = 41,406/x
3. Step 3: Cross multiply
   35,814x = 41,406 × 41,406
4. Step 4: Simplify right side
   35,814x = 1,714,456,836
5. Step 5: Solve for x
   x = 1,714,456,836/35,814
6. Step 6: Final answer
   x = 47,871.14