Finding the Third Proportional to 33,080 and 71,152

Step by Step Solution

1. Step 1: Write the proportion equation
   33,080 : 71,152 = 71,152 : x
2. Step 2: Convert to fraction form
   33,080/71,152 = 71,152/x
3. Step 3: Cross multiply
   33,080x = 71,152 × 71,152
4. Step 4: Simplify right side
   33,080x = 5,062,607,104
5. Step 5: Solve for x
   x = 5,062,607,104/33,080
6. Step 6: Final answer
   x = 153,041.33