Finding the Third Proportional to 32,856 and 71,456

Step by Step Solution

1. Step 1: Write the proportion equation
   32,856 : 71,456 = 71,456 : x
2. Step 2: Convert to fraction form
   32,856/71,456 = 71,456/x
3. Step 3: Cross multiply
   32,856x = 71,456 × 71,456
4. Step 4: Simplify right side
   32,856x = 5,105,959,936
5. Step 5: Solve for x
   x = 5,105,959,936/32,856
6. Step 6: Final answer
   x = 155,404.19