Finding the Third Proportional to 9,540 and 23,202

Step by Step Solution

1. Step 1: Write the proportion equation
   9,540 : 23,202 = 23,202 : x
2. Step 2: Convert to fraction form
   9,540/23,202 = 23,202/x
3. Step 3: Cross multiply
   9,540x = 23,202 × 23,202
4. Step 4: Simplify right side
   9,540x = 538,332,804
5. Step 5: Solve for x
   x = 538,332,804/9,540
6. Step 6: Final answer
   x = 56,429.02