Finding the Third Proportional to 46,401 and 72,024

Step by Step Solution

1. Step 1: Write the proportion equation
   46,401 : 72,024 = 72,024 : x
2. Step 2: Convert to fraction form
   46,401/72,024 = 72,024/x
3. Step 3: Cross multiply
   46,401x = 72,024 × 72,024
4. Step 4: Simplify right side
   46,401x = 5,187,456,576
5. Step 5: Solve for x
   x = 5,187,456,576/46,401
6. Step 6: Final answer
   x = 111,796.22