Finding the Third Proportional to 10,440 and 22,892

Step by Step Solution

1. Step 1: Write the proportion equation
   10,440 : 22,892 = 22,892 : x
2. Step 2: Convert to fraction form
   10,440/22,892 = 22,892/x
3. Step 3: Cross multiply
   10,440x = 22,892 × 22,892
4. Step 4: Simplify right side
   10,440x = 524,043,664
5. Step 5: Solve for x
   x = 524,043,664/10,440
6. Step 6: Final answer
   x = 50,195.75