Finding the Third Proportional to 33,564 and 72,952

Step by Step Solution

1. Step 1: Write the proportion equation
   33,564 : 72,952 = 72,952 : x
2. Step 2: Convert to fraction form
   33,564/72,952 = 72,952/x
3. Step 3: Cross multiply
   33,564x = 72,952 × 72,952
4. Step 4: Simplify right side
   33,564x = 5,321,994,304
5. Step 5: Solve for x
   x = 5,321,994,304/33,564
6. Step 6: Final answer
   x = 158,562.58