Finding the Third Proportional to 41,770 and 64,648

Step by Step Solution

1. Step 1: Write the proportion equation
   41,770 : 64,648 = 64,648 : x
2. Step 2: Convert to fraction form
   41,770/64,648 = 64,648/x
3. Step 3: Cross multiply
   41,770x = 64,648 × 64,648
4. Step 4: Simplify right side
   41,770x = 4,179,363,904
5. Step 5: Solve for x
   x = 4,179,363,904/41,770
6. Step 6: Final answer
   x = 100,056.59