Finding the Third Proportional to 33,664 and 71,168

Step by Step Solution

1. Step 1: Write the proportion equation
   33,664 : 71,168 = 71,168 : x
2. Step 2: Convert to fraction form
   33,664/71,168 = 71,168/x
3. Step 3: Cross multiply
   33,664x = 71,168 × 71,168
4. Step 4: Simplify right side
   33,664x = 5,064,884,224
5. Step 5: Solve for x
   x = 5,064,884,224/33,664
6. Step 6: Final answer
   x = 150,454.02