Finding the Third Proportional to 33,048 and 52,272

Step by Step Solution

1. Step 1: Write the proportion equation
   33,048 : 52,272 = 52,272 : x
2. Step 2: Convert to fraction form
   33,048/52,272 = 52,272/x
3. Step 3: Cross multiply
   33,048x = 52,272 × 52,272
4. Step 4: Simplify right side
   33,048x = 2,732,361,984
5. Step 5: Solve for x
   x = 2,732,361,984/33,048
6. Step 6: Final answer
   x = 82,678.59