Finding the Third Proportional to 33,076 and 71,144

Step by Step Solution

1. Step 1: Write the proportion equation
   33,076 : 71,144 = 71,144 : x
2. Step 2: Convert to fraction form
   33,076/71,144 = 71,144/x
3. Step 3: Cross multiply
   33,076x = 71,144 × 71,144
4. Step 4: Simplify right side
   33,076x = 5,061,468,736
5. Step 5: Solve for x
   x = 5,061,468,736/33,076
6. Step 6: Final answer
   x = 153,025.42