Finding the Third Proportional to 11,693 and 17,630

Step by Step Solution

1. Step 1: Write the proportion equation
   11,693 : 17,630 = 17,630 : x
2. Step 2: Convert to fraction form
   11,693/17,630 = 17,630/x
3. Step 3: Cross multiply
   11,693x = 17,630 × 17,630
4. Step 4: Simplify right side
   11,693x = 310,816,900
5. Step 5: Solve for x
   x = 310,816,900/11,693
6. Step 6: Final answer
   x = 26,581.45