Finding the Third Proportional to 41,564 and 65,010

Step by Step Solution

1. Step 1: Write the proportion equation
   41,564 : 65,010 = 65,010 : x
2. Step 2: Convert to fraction form
   41,564/65,010 = 65,010/x
3. Step 3: Cross multiply
   41,564x = 65,010 × 65,010
4. Step 4: Simplify right side
   41,564x = 4,226,300,100
5. Step 5: Solve for x
   x = 4,226,300,100/41,564
6. Step 6: Final answer
   x = 101,681.75