Finding the Third Proportional to 2,693.63 and 5,617.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,693.63 : 5,617.88 = 5,617.88 : x
2. Step 2: Convert to fraction form
   2,693.63/5,617.88 = 5,617.88/x
3. Step 3: Cross multiply
   2,693.63x = 5,617.88 × 5,617.88
4. Step 4: Simplify right side
   2,693.63x = 31,560,519.52
5. Step 5: Solve for x
   x = 31,560,519.52/2,693.63
6. Step 6: Final answer
   x = 11,716.75