Finding the Third Proportional to 41,838 and 64,818

Step by Step Solution

1. Step 1: Write the proportion equation
   41,838 : 64,818 = 64,818 : x
2. Step 2: Convert to fraction form
   41,838/64,818 = 64,818/x
3. Step 3: Cross multiply
   41,838x = 64,818 × 64,818
4. Step 4: Simplify right side
   41,838x = 4,201,373,124
5. Step 5: Solve for x
   x = 4,201,373,124/41,838
6. Step 6: Final answer
   x = 100,420.03