Finding the Third Proportional to 65,840 and 101,976

Step by Step Solution

1. Step 1: Write the proportion equation
   65,840 : 101,976 = 101,976 : x
2. Step 2: Convert to fraction form
   65,840/101,976 = 101,976/x
3. Step 3: Cross multiply
   65,840x = 101,976 × 101,976
4. Step 4: Simplify right side
   65,840x = 10,399,104,576
5. Step 5: Solve for x
   x = 10,399,104,576/65,840
6. Step 6: Final answer
   x = 157,945.09