Finding the Third Proportional to 10,540 and 23,200

Step by Step Solution

1. Step 1: Write the proportion equation
   10,540 : 23,200 = 23,200 : x
2. Step 2: Convert to fraction form
   10,540/23,200 = 23,200/x
3. Step 3: Cross multiply
   10,540x = 23,200 × 23,200
4. Step 4: Simplify right side
   10,540x = 538,240,000
5. Step 5: Solve for x
   x = 538,240,000/10,540
6. Step 6: Final answer
   x = 51,066.41