Finding the Third Proportional to 5,836.97 and 12,494.06

Step by Step Solution

1. Step 1: Write the proportion equation
   5,836.97 : 12,494.06 = 12,494.06 : x
2. Step 2: Convert to fraction form
   5,836.97/12,494.06 = 12,494.06/x
3. Step 3: Cross multiply
   5,836.97x = 12,494.06 × 12,494.06
4. Step 4: Simplify right side
   5,836.97x = 156,101,597.75
5. Step 5: Solve for x
   x = 156,101,597.75/5,836.97
6. Step 6: Final answer
   x = 26,743.61