Finding the Third Proportional to 2,186.06 and 3,466.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,186.06 : 3,466.88 = 3,466.88 : x
2. Step 2: Convert to fraction form
   2,186.06/3,466.88 = 3,466.88/x
3. Step 3: Cross multiply
   2,186.06x = 3,466.88 × 3,466.88
4. Step 4: Simplify right side
   2,186.06x = 12,019,222.27
5. Step 5: Solve for x
   x = 12,019,222.27/2,186.06
6. Step 6: Final answer
   x = 5,498.11