Finding the Third Proportional to 5,828.20 and 12,587.59

Step by Step Solution

1. Step 1: Write the proportion equation
   5,828.20 : 12,587.59 = 12,587.59 : x
2. Step 2: Convert to fraction form
   5,828.20/12,587.59 = 12,587.59/x
3. Step 3: Cross multiply
   5,828.20x = 12,587.59 × 12,587.59
4. Step 4: Simplify right side
   5,828.20x = 158,447,418.07
5. Step 5: Solve for x
   x = 158,447,418.07/5,828.20
6. Step 6: Final answer
   x = 27,186.32