Finding the Third Proportional to 33,869 and 72,977

Step by Step Solution

1. Step 1: Write the proportion equation
   33,869 : 72,977 = 72,977 : x
2. Step 2: Convert to fraction form
   33,869/72,977 = 72,977/x
3. Step 3: Cross multiply
   33,869x = 72,977 × 72,977
4. Step 4: Simplify right side
   33,869x = 5,325,642,529
5. Step 5: Solve for x
   x = 5,325,642,529/33,869
6. Step 6: Final answer
   x = 157,242.39