Finding the Third Proportional to 10,540 and 19,400

Step by Step Solution

1. Step 1: Write the proportion equation
   10,540 : 19,400 = 19,400 : x
2. Step 2: Convert to fraction form
   10,540/19,400 = 19,400/x
3. Step 3: Cross multiply
   10,540x = 19,400 × 19,400
4. Step 4: Simplify right side
   10,540x = 376,360,000
5. Step 5: Solve for x
   x = 376,360,000/10,540
6. Step 6: Final answer
   x = 35,707.78