Finding the Third Proportional to 40,896 and 64,638

Step by Step Solution

1. Step 1: Write the proportion equation
   40,896 : 64,638 = 64,638 : x
2. Step 2: Convert to fraction form
   40,896/64,638 = 64,638/x
3. Step 3: Cross multiply
   40,896x = 64,638 × 64,638
4. Step 4: Simplify right side
   40,896x = 4,178,071,044
5. Step 5: Solve for x
   x = 4,178,071,044/40,896
6. Step 6: Final answer
   x = 102,163.32