Finding the Third Proportional to 33,949 and 80,269

Step by Step Solution

1. Step 1: Write the proportion equation
   33,949 : 80,269 = 80,269 : x
2. Step 2: Convert to fraction form
   33,949/80,269 = 80,269/x
3. Step 3: Cross multiply
   33,949x = 80,269 × 80,269
4. Step 4: Simplify right side
   33,949x = 6,443,112,361
5. Step 5: Solve for x
   x = 6,443,112,361/33,949
6. Step 6: Final answer
   x = 189,787.99