Finding the Third Proportional to 35,672 and 40,856

Step by Step Solution

1. Step 1: Write the proportion equation
   35,672 : 40,856 = 40,856 : x
2. Step 2: Convert to fraction form
   35,672/40,856 = 40,856/x
3. Step 3: Cross multiply
   35,672x = 40,856 × 40,856
4. Step 4: Simplify right side
   35,672x = 1,669,212,736
5. Step 5: Solve for x
   x = 1,669,212,736/35,672
6. Step 6: Final answer
   x = 46,793.36