Finding the Third Proportional to 10,626 and 23,396

Step by Step Solution

1. Step 1: Write the proportion equation
   10,626 : 23,396 = 23,396 : x
2. Step 2: Convert to fraction form
   10,626/23,396 = 23,396/x
3. Step 3: Cross multiply
   10,626x = 23,396 × 23,396
4. Step 4: Simplify right side
   10,626x = 547,372,816
5. Step 5: Solve for x
   x = 547,372,816/10,626
6. Step 6: Final answer
   x = 51,512.59