Finding the Third Proportional to 40,864 and 57,832

Step by Step Solution

1. Step 1: Write the proportion equation
   40,864 : 57,832 = 57,832 : x
2. Step 2: Convert to fraction form
   40,864/57,832 = 57,832/x
3. Step 3: Cross multiply
   40,864x = 57,832 × 57,832
4. Step 4: Simplify right side
   40,864x = 3,344,540,224
5. Step 5: Solve for x
   x = 3,344,540,224/40,864
6. Step 6: Final answer
   x = 81,845.64