Finding the Third Proportional to 10,600 and 23,320

Step by Step Solution

1. Step 1: Write the proportion equation
   10,600 : 23,320 = 23,320 : x
2. Step 2: Convert to fraction form
   10,600/23,320 = 23,320/x
3. Step 3: Cross multiply
   10,600x = 23,320 × 23,320
4. Step 4: Simplify right side
   10,600x = 543,822,400
5. Step 5: Solve for x
   x = 543,822,400/10,600
6. Step 6: Final answer
   x = 51,304