Finding the Third Proportional to 33,380 and 72,568

Step by Step Solution

1. Step 1: Write the proportion equation
   33,380 : 72,568 = 72,568 : x
2. Step 2: Convert to fraction form
   33,380/72,568 = 72,568/x
3. Step 3: Cross multiply
   33,380x = 72,568 × 72,568
4. Step 4: Simplify right side
   33,380x = 5,266,114,624
5. Step 5: Solve for x
   x = 5,266,114,624/33,380
6. Step 6: Final answer
   x = 157,762.57