Finding the Third Proportional to 33,405 and 72,510

Step by Step Solution

1. Step 1: Write the proportion equation
   33,405 : 72,510 = 72,510 : x
2. Step 2: Convert to fraction form
   33,405/72,510 = 72,510/x
3. Step 3: Cross multiply
   33,405x = 72,510 × 72,510
4. Step 4: Simplify right side
   33,405x = 5,257,700,100
5. Step 5: Solve for x
   x = 5,257,700,100/33,405
6. Step 6: Final answer
   x = 157,392.61