Finding the Third Proportional to 33,640 and 72,806

Step by Step Solution

1. Step 1: Write the proportion equation
   33,640 : 72,806 = 72,806 : x
2. Step 2: Convert to fraction form
   33,640/72,806 = 72,806/x
3. Step 3: Cross multiply
   33,640x = 72,806 × 72,806
4. Step 4: Simplify right side
   33,640x = 5,300,713,636
5. Step 5: Solve for x
   x = 5,300,713,636/33,640
6. Step 6: Final answer
   x = 157,571.75