Finding the Third Proportional to 33,790 and 71,954

Step by Step Solution

1. Step 1: Write the proportion equation
   33,790 : 71,954 = 71,954 : x
2. Step 2: Convert to fraction form
   33,790/71,954 = 71,954/x
3. Step 3: Cross multiply
   33,790x = 71,954 × 71,954
4. Step 4: Simplify right side
   33,790x = 5,177,378,116
5. Step 5: Solve for x
   x = 5,177,378,116/33,790
6. Step 6: Final answer
   x = 153,222.20