Finding the Third Proportional to 33,597 and 72,378

Step by Step Solution

1. Step 1: Write the proportion equation
   33,597 : 72,378 = 72,378 : x
2. Step 2: Convert to fraction form
   33,597/72,378 = 72,378/x
3. Step 3: Cross multiply
   33,597x = 72,378 × 72,378
4. Step 4: Simplify right side
   33,597x = 5,238,574,884
5. Step 5: Solve for x
   x = 5,238,574,884/33,597
6. Step 6: Final answer
   x = 155,923.89