Finding the Third Proportional to 33,536 and 71,680

Step by Step Solution

1. Step 1: Write the proportion equation
   33,536 : 71,680 = 71,680 : x
2. Step 2: Convert to fraction form
   33,536/71,680 = 71,680/x
3. Step 3: Cross multiply
   33,536x = 71,680 × 71,680
4. Step 4: Simplify right side
   33,536x = 5,138,022,400
5. Step 5: Solve for x
   x = 5,138,022,400/33,536
6. Step 6: Final answer
   x = 153,209.16