Finding the Third Proportional to 11,788 and 20,494

Step by Step Solution

1. Step 1: Write the proportion equation
   11,788 : 20,494 = 20,494 : x
2. Step 2: Convert to fraction form
   11,788/20,494 = 20,494/x
3. Step 3: Cross multiply
   11,788x = 20,494 × 20,494
4. Step 4: Simplify right side
   11,788x = 420,004,036
5. Step 5: Solve for x
   x = 420,004,036/11,788
6. Step 6: Final answer
   x = 35,629.80