Finding the Third Proportional to 33,711 and 72,680

Step by Step Solution

1. Step 1: Write the proportion equation
   33,711 : 72,680 = 72,680 : x
2. Step 2: Convert to fraction form
   33,711/72,680 = 72,680/x
3. Step 3: Cross multiply
   33,711x = 72,680 × 72,680
4. Step 4: Simplify right side
   33,711x = 5,282,382,400
5. Step 5: Solve for x
   x = 5,282,382,400/33,711
6. Step 6: Final answer
   x = 156,696.11