Finding the Third Proportional to 33,168 and 72,502

Step by Step Solution

1. Step 1: Write the proportion equation
   33,168 : 72,502 = 72,502 : x
2. Step 2: Convert to fraction form
   33,168/72,502 = 72,502/x
3. Step 3: Cross multiply
   33,168x = 72,502 × 72,502
4. Step 4: Simplify right side
   33,168x = 5,256,540,004
5. Step 5: Solve for x
   x = 5,256,540,004/33,168
6. Step 6: Final answer
   x = 158,482.27