Finding the Third Proportional to 9,626 and 17,362

Step by Step Solution

1. Step 1: Write the proportion equation
   9,626 : 17,362 = 17,362 : x
2. Step 2: Convert to fraction form
   9,626/17,362 = 17,362/x
3. Step 3: Cross multiply
   9,626x = 17,362 × 17,362
4. Step 4: Simplify right side
   9,626x = 301,439,044
5. Step 5: Solve for x
   x = 301,439,044/9,626
6. Step 6: Final answer
   x = 31,315.09