Finding the Third Proportional to 41,747 and 64,650

Step by Step Solution

1. Step 1: Write the proportion equation
   41,747 : 64,650 = 64,650 : x
2. Step 2: Convert to fraction form
   41,747/64,650 = 64,650/x
3. Step 3: Cross multiply
   41,747x = 64,650 × 64,650
4. Step 4: Simplify right side
   41,747x = 4,179,622,500
5. Step 5: Solve for x
   x = 4,179,622,500/41,747
6. Step 6: Final answer
   x = 100,117.91