Finding the Third Proportional to 33,947 and 80,264

Step by Step Solution

1. Step 1: Write the proportion equation
   33,947 : 80,264 = 80,264 : x
2. Step 2: Convert to fraction form
   33,947/80,264 = 80,264/x
3. Step 3: Cross multiply
   33,947x = 80,264 × 80,264
4. Step 4: Simplify right side
   33,947x = 6,442,309,696
5. Step 5: Solve for x
   x = 6,442,309,696/33,947
6. Step 6: Final answer
   x = 189,775.52