Finding the Third Proportional to 41,494 and 64,832

Step by Step Solution

1. Step 1: Write the proportion equation
   41,494 : 64,832 = 64,832 : x
2. Step 2: Convert to fraction form
   41,494/64,832 = 64,832/x
3. Step 3: Cross multiply
   41,494x = 64,832 × 64,832
4. Step 4: Simplify right side
   41,494x = 4,203,188,224
5. Step 5: Solve for x
   x = 4,203,188,224/41,494
6. Step 6: Final answer
   x = 101,296.29