Finding the Third Proportional to 2,188.69 and 3,466.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,188.69 : 3,466.13 = 3,466.13 : x
2. Step 2: Convert to fraction form
   2,188.69/3,466.13 = 3,466.13/x
3. Step 3: Cross multiply
   2,188.69x = 3,466.13 × 3,466.13
4. Step 4: Simplify right side
   2,188.69x = 12,014,022.52
5. Step 5: Solve for x
   x = 12,014,022.52/2,188.69
6. Step 6: Final answer
   x = 5,489.14