Finding the Third Proportional to 10,828 and 23,640

Step by Step Solution

1. Step 1: Write the proportion equation
   10,828 : 23,640 = 23,640 : x
2. Step 2: Convert to fraction form
   10,828/23,640 = 23,640/x
3. Step 3: Cross multiply
   10,828x = 23,640 × 23,640
4. Step 4: Simplify right side
   10,828x = 558,849,600
5. Step 5: Solve for x
   x = 558,849,600/10,828
6. Step 6: Final answer
   x = 51,611.53