Finding the Third Proportional to 33,177 and 72,819

Step by Step Solution

1. Step 1: Write the proportion equation
   33,177 : 72,819 = 72,819 : x
2. Step 2: Convert to fraction form
   33,177/72,819 = 72,819/x
3. Step 3: Cross multiply
   33,177x = 72,819 × 72,819
4. Step 4: Simplify right side
   33,177x = 5,302,606,761
5. Step 5: Solve for x
   x = 5,302,606,761/33,177
6. Step 6: Final answer
   x = 159,827.80