Finding the Third Proportional to 40,824 and 58,320

Step by Step Solution

1. Step 1: Write the proportion equation
   40,824 : 58,320 = 58,320 : x
2. Step 2: Convert to fraction form
   40,824/58,320 = 58,320/x
3. Step 3: Cross multiply
   40,824x = 58,320 × 58,320
4. Step 4: Simplify right side
   40,824x = 3,401,222,400
5. Step 5: Solve for x
   x = 3,401,222,400/40,824
6. Step 6: Final answer
   x = 83,314.29