Finding the Third Proportional to 33,640 and 70,766

Step by Step Solution

1. Step 1: Write the proportion equation
   33,640 : 70,766 = 70,766 : x
2. Step 2: Convert to fraction form
   33,640/70,766 = 70,766/x
3. Step 3: Cross multiply
   33,640x = 70,766 × 70,766
4. Step 4: Simplify right side
   33,640x = 5,007,826,756
5. Step 5: Solve for x
   x = 5,007,826,756/33,640
6. Step 6: Final answer
   x = 148,865.24