Finding the Third Proportional to 41,688 and 65,016

Step by Step Solution

1. Step 1: Write the proportion equation
   41,688 : 65,016 = 65,016 : x
2. Step 2: Convert to fraction form
   41,688/65,016 = 65,016/x
3. Step 3: Cross multiply
   41,688x = 65,016 × 65,016
4. Step 4: Simplify right side
   41,688x = 4,227,080,256
5. Step 5: Solve for x
   x = 4,227,080,256/41,688
6. Step 6: Final answer
   x = 101,398.01