Finding the Third Proportional to 29,966 and 65,116

Step by Step Solution

1. Step 1: Write the proportion equation
   29,966 : 65,116 = 65,116 : x
2. Step 2: Convert to fraction form
   29,966/65,116 = 65,116/x
3. Step 3: Cross multiply
   29,966x = 65,116 × 65,116
4. Step 4: Simplify right side
   29,966x = 4,240,093,456
5. Step 5: Solve for x
   x = 4,240,093,456/29,966
6. Step 6: Final answer
   x = 141,496.81