Finding the Third Proportional to 33,111 and 72,171

Step by Step Solution

1. Step 1: Write the proportion equation
   33,111 : 72,171 = 72,171 : x
2. Step 2: Convert to fraction form
   33,111/72,171 = 72,171/x
3. Step 3: Cross multiply
   33,111x = 72,171 × 72,171
4. Step 4: Simplify right side
   33,111x = 5,208,653,241
5. Step 5: Solve for x
   x = 5,208,653,241/33,111
6. Step 6: Final answer
   x = 157,308.85