Finding the Third Proportional to 11,626 and 25,410

Step by Step Solution

1. Step 1: Write the proportion equation
   11,626 : 25,410 = 25,410 : x
2. Step 2: Convert to fraction form
   11,626/25,410 = 25,410/x
3. Step 3: Cross multiply
   11,626x = 25,410 × 25,410
4. Step 4: Simplify right side
   11,626x = 645,668,100
5. Step 5: Solve for x
   x = 645,668,100/11,626
6. Step 6: Final answer
   x = 55,536.56