Finding the Third Proportional to 33,178 and 72,564

Step by Step Solution

1. Step 1: Write the proportion equation
   33,178 : 72,564 = 72,564 : x
2. Step 2: Convert to fraction form
   33,178/72,564 = 72,564/x
3. Step 3: Cross multiply
   33,178x = 72,564 × 72,564
4. Step 4: Simplify right side
   33,178x = 5,265,534,096
5. Step 5: Solve for x
   x = 5,265,534,096/33,178
6. Step 6: Final answer
   x = 158,705.59