Finding the Third Proportional to 33,177 and 71,538

Step by Step Solution

1. Step 1: Write the proportion equation
   33,177 : 71,538 = 71,538 : x
2. Step 2: Convert to fraction form
   33,177/71,538 = 71,538/x
3. Step 3: Cross multiply
   33,177x = 71,538 × 71,538
4. Step 4: Simplify right side
   33,177x = 5,117,685,444
5. Step 5: Solve for x
   x = 5,117,685,444/33,177
6. Step 6: Final answer
   x = 154,254.01