Finding the Third Proportional to 37,640 and 79,456

Step by Step Solution

1. Step 1: Write the proportion equation
   37,640 : 79,456 = 79,456 : x
2. Step 2: Convert to fraction form
   37,640/79,456 = 79,456/x
3. Step 3: Cross multiply
   37,640x = 79,456 × 79,456
4. Step 4: Simplify right side
   37,640x = 6,313,255,936
5. Step 5: Solve for x
   x = 6,313,255,936/37,640
6. Step 6: Final answer
   x = 167,727.31