Finding the Third Proportional to 11,626 and 17,788

Step by Step Solution

1. Step 1: Write the proportion equation
   11,626 : 17,788 = 17,788 : x
2. Step 2: Convert to fraction form
   11,626/17,788 = 17,788/x
3. Step 3: Cross multiply
   11,626x = 17,788 × 17,788
4. Step 4: Simplify right side
   11,626x = 316,412,944
5. Step 5: Solve for x
   x = 316,412,944/11,626
6. Step 6: Final answer
   x = 27,215.98