Finding the Third Proportional to 33,375 and 72,456

Step by Step Solution

1. Step 1: Write the proportion equation
   33,375 : 72,456 = 72,456 : x
2. Step 2: Convert to fraction form
   33,375/72,456 = 72,456/x
3. Step 3: Cross multiply
   33,375x = 72,456 × 72,456
4. Step 4: Simplify right side
   33,375x = 5,249,871,936
5. Step 5: Solve for x
   x = 5,249,871,936/33,375
6. Step 6: Final answer
   x = 157,299.53