Finding the Third Proportional to 5,498.06 and 11,846.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,498.06 : 11,846.63 = 11,846.63 : x
2. Step 2: Convert to fraction form
   5,498.06/11,846.63 = 11,846.63/x
3. Step 3: Cross multiply
   5,498.06x = 11,846.63 × 11,846.63
4. Step 4: Simplify right side
   5,498.06x = 140,342,523.89
5. Step 5: Solve for x
   x = 140,342,523.89/5,498.06
6. Step 6: Final answer
   x = 25,525.81