Finding the Third Proportional to 2,555.30 and 5,866.17

Step by Step Solution

1. Step 1: Write the proportion equation
   2,555.30 : 5,866.17 = 5,866.17 : x
2. Step 2: Convert to fraction form
   2,555.30/5,866.17 = 5,866.17/x
3. Step 3: Cross multiply
   2,555.30x = 5,866.17 × 5,866.17
4. Step 4: Simplify right side
   2,555.30x = 34,411,972.47
5. Step 5: Solve for x
   x = 34,411,972.47/2,555.30
6. Step 6: Final answer
   x = 13,466.92