Finding the Third Proportional to 10,626 and 17,355

Step by Step Solution

1. Step 1: Write the proportion equation
   10,626 : 17,355 = 17,355 : x
2. Step 2: Convert to fraction form
   10,626/17,355 = 17,355/x
3. Step 3: Cross multiply
   10,626x = 17,355 × 17,355
4. Step 4: Simplify right side
   10,626x = 301,196,025
5. Step 5: Solve for x
   x = 301,196,025/10,626
6. Step 6: Final answer
   x = 28,345.19