Finding the Third Proportional to 33,982 and 72,013

Step by Step Solution

1. Step 1: Write the proportion equation
   33,982 : 72,013 = 72,013 : x
2. Step 2: Convert to fraction form
   33,982/72,013 = 72,013/x
3. Step 3: Cross multiply
   33,982x = 72,013 × 72,013
4. Step 4: Simplify right side
   33,982x = 5,185,872,169
5. Step 5: Solve for x
   x = 5,185,872,169/33,982
6. Step 6: Final answer
   x = 152,606.44