Finding the Third Proportional to 33,444 and 72,168

Step by Step Solution

1. Step 1: Write the proportion equation
   33,444 : 72,168 = 72,168 : x
2. Step 2: Convert to fraction form
   33,444/72,168 = 72,168/x
3. Step 3: Cross multiply
   33,444x = 72,168 × 72,168
4. Step 4: Simplify right side
   33,444x = 5,208,220,224
5. Step 5: Solve for x
   x = 5,208,220,224/33,444
6. Step 6: Final answer
   x = 155,729.58