Finding the Third Proportional to 5,734.69 and 12,597.47

Step by Step Solution

1. Step 1: Write the proportion equation
   5,734.69 : 12,597.47 = 12,597.47 : x
2. Step 2: Convert to fraction form
   5,734.69/12,597.47 = 12,597.47/x
3. Step 3: Cross multiply
   5,734.69x = 12,597.47 × 12,597.47
4. Step 4: Simplify right side
   5,734.69x = 158,696,218.91
5. Step 5: Solve for x
   x = 158,696,218.91/5,734.69
6. Step 6: Final answer
   x = 27,673.04