Finding the Third Proportional to 10,440 and 22,399

Step by Step Solution

1. Step 1: Write the proportion equation
   10,440 : 22,399 = 22,399 : x
2. Step 2: Convert to fraction form
   10,440/22,399 = 22,399/x
3. Step 3: Cross multiply
   10,440x = 22,399 × 22,399
4. Step 4: Simplify right side
   10,440x = 501,715,201
5. Step 5: Solve for x
   x = 501,715,201/10,440
6. Step 6: Final answer
   x = 48,057.01