Finding the Third Proportional to 5,869.69 and 12,592.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,869.69 : 12,592.69 = 12,592.69 : x
2. Step 2: Convert to fraction form
   5,869.69/12,592.69 = 12,592.69/x
3. Step 3: Cross multiply
   5,869.69x = 12,592.69 × 12,592.69
4. Step 4: Simplify right side
   5,869.69x = 158,575,778.47
5. Step 5: Solve for x
   x = 158,575,778.47/5,869.69
6. Step 6: Final answer
   x = 27,016.05