Finding the Third Proportional to 5,881.22 and 12,580.59

Step by Step Solution

1. Step 1: Write the proportion equation
   5,881.22 : 12,580.59 = 12,580.59 : x
2. Step 2: Convert to fraction form
   5,881.22/12,580.59 = 12,580.59/x
3. Step 3: Cross multiply
   5,881.22x = 12,580.59 × 12,580.59
4. Step 4: Simplify right side
   5,881.22x = 158,271,339.10
5. Step 5: Solve for x
   x = 158,271,339.10/5,881.22
6. Step 6: Final answer
   x = 26,911.32