Finding the Third Proportional to 40,864 and 64,212

Step by Step Solution

1. Step 1: Write the proportion equation
   40,864 : 64,212 = 64,212 : x
2. Step 2: Convert to fraction form
   40,864/64,212 = 64,212/x
3. Step 3: Cross multiply
   40,864x = 64,212 × 64,212
4. Step 4: Simplify right side
   40,864x = 4,123,180,944
5. Step 5: Solve for x
   x = 4,123,180,944/40,864
6. Step 6: Final answer
   x = 100,900.08