Finding the Third Proportional to 33,152 and 71,960

Step by Step Solution

1. Step 1: Write the proportion equation
   33,152 : 71,960 = 71,960 : x
2. Step 2: Convert to fraction form
   33,152/71,960 = 71,960/x
3. Step 3: Cross multiply
   33,152x = 71,960 × 71,960
4. Step 4: Simplify right side
   33,152x = 5,178,241,600
5. Step 5: Solve for x
   x = 5,178,241,600/33,152
6. Step 6: Final answer
   x = 156,196.96