Finding the Third Proportional to 38,880 and 58,320

Step by Step Solution

1. Step 1: Write the proportion equation
   38,880 : 58,320 = 58,320 : x
2. Step 2: Convert to fraction form
   38,880/58,320 = 58,320/x
3. Step 3: Cross multiply
   38,880x = 58,320 × 58,320
4. Step 4: Simplify right side
   38,880x = 3,401,222,400
5. Step 5: Solve for x
   x = 3,401,222,400/38,880
6. Step 6: Final answer
   x = 87,480