Finding the Third Proportional to 41,732 and 86,380

Step by Step Solution

1. Step 1: Write the proportion equation
   41,732 : 86,380 = 86,380 : x
2. Step 2: Convert to fraction form
   41,732/86,380 = 86,380/x
3. Step 3: Cross multiply
   41,732x = 86,380 × 86,380
4. Step 4: Simplify right side
   41,732x = 7,461,504,400
5. Step 5: Solve for x
   x = 7,461,504,400/41,732
6. Step 6: Final answer
   x = 178,795.75