Finding the Third Proportional to 33,536 and 72,272

Step by Step Solution

1. Step 1: Write the proportion equation
   33,536 : 72,272 = 72,272 : x
2. Step 2: Convert to fraction form
   33,536/72,272 = 72,272/x
3. Step 3: Cross multiply
   33,536x = 72,272 × 72,272
4. Step 4: Simplify right side
   33,536x = 5,223,241,984
5. Step 5: Solve for x
   x = 5,223,241,984/33,536
6. Step 6: Final answer
   x = 155,750.30