Finding the Third Proportional to 33,666 and 52,272

Step by Step Solution

1. Step 1: Write the proportion equation
   33,666 : 52,272 = 52,272 : x
2. Step 2: Convert to fraction form
   33,666/52,272 = 52,272/x
3. Step 3: Cross multiply
   33,666x = 52,272 × 52,272
4. Step 4: Simplify right side
   33,666x = 2,732,361,984
5. Step 5: Solve for x
   x = 2,732,361,984/33,666
6. Step 6: Final answer
   x = 81,160.87