Finding the Third Proportional to 10,240 and 24,064

Step by Step Solution

1. Step 1: Write the proportion equation
   10,240 : 24,064 = 24,064 : x
2. Step 2: Convert to fraction form
   10,240/24,064 = 24,064/x
3. Step 3: Cross multiply
   10,240x = 24,064 × 24,064
4. Step 4: Simplify right side
   10,240x = 579,076,096
5. Step 5: Solve for x
   x = 579,076,096/10,240
6. Step 6: Final answer
   x = 56,550.40