Finding the Third Proportional to 46,727 and 71,456

Step by Step Solution

1. Step 1: Write the proportion equation
   46,727 : 71,456 = 71,456 : x
2. Step 2: Convert to fraction form
   46,727/71,456 = 71,456/x
3. Step 3: Cross multiply
   46,727x = 71,456 × 71,456
4. Step 4: Simplify right side
   46,727x = 5,105,959,936
5. Step 5: Solve for x
   x = 5,105,959,936/46,727
6. Step 6: Final answer
   x = 109,272.15