Finding the Third Proportional to 40,992 and 86,880

Step by Step Solution

1. Step 1: Write the proportion equation
   40,992 : 86,880 = 86,880 : x
2. Step 2: Convert to fraction form
   40,992/86,880 = 86,880/x
3. Step 3: Cross multiply
   40,992x = 86,880 × 86,880
4. Step 4: Simplify right side
   40,992x = 7,548,134,400
5. Step 5: Solve for x
   x = 7,548,134,400/40,992
6. Step 6: Final answer
   x = 184,136.77