Finding the Third Proportional to 10,530 and 24,380

Step by Step Solution

1. Step 1: Write the proportion equation
   10,530 : 24,380 = 24,380 : x
2. Step 2: Convert to fraction form
   10,530/24,380 = 24,380/x
3. Step 3: Cross multiply
   10,530x = 24,380 × 24,380
4. Step 4: Simplify right side
   10,530x = 594,384,400
5. Step 5: Solve for x
   x = 594,384,400/10,530
6. Step 6: Final answer
   x = 56,446.76