Finding the Third Proportional to 10,396 and 23,542

Step by Step Solution

1. Step 1: Write the proportion equation
   10,396 : 23,542 = 23,542 : x
2. Step 2: Convert to fraction form
   10,396/23,542 = 23,542/x
3. Step 3: Cross multiply
   10,396x = 23,542 × 23,542
4. Step 4: Simplify right side
   10,396x = 554,225,764
5. Step 5: Solve for x
   x = 554,225,764/10,396
6. Step 6: Final answer
   x = 53,311.44