Finding the Third Proportional to 41,769 and 64,734

Step by Step Solution

1. Step 1: Write the proportion equation
   41,769 : 64,734 = 64,734 : x
2. Step 2: Convert to fraction form
   41,769/64,734 = 64,734/x
3. Step 3: Cross multiply
   41,769x = 64,734 × 64,734
4. Step 4: Simplify right side
   41,769x = 4,190,490,756
5. Step 5: Solve for x
   x = 4,190,490,756/41,769
6. Step 6: Final answer
   x = 100,325.38