Finding the Third Proportional to 33,289 and 72,456

Step by Step Solution

1. Step 1: Write the proportion equation
   33,289 : 72,456 = 72,456 : x
2. Step 2: Convert to fraction form
   33,289/72,456 = 72,456/x
3. Step 3: Cross multiply
   33,289x = 72,456 × 72,456
4. Step 4: Simplify right side
   33,289x = 5,249,871,936
5. Step 5: Solve for x
   x = 5,249,871,936/33,289
6. Step 6: Final answer
   x = 157,705.91