Finding the Third Proportional to 2,678.91 and 5,891.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,678.91 : 5,891.06 = 5,891.06 : x
2. Step 2: Convert to fraction form
   2,678.91/5,891.06 = 5,891.06/x
3. Step 3: Cross multiply
   2,678.91x = 5,891.06 × 5,891.06
4. Step 4: Simplify right side
   2,678.91x = 34,704,617.38
5. Step 5: Solve for x
   x = 34,704,617.38/2,678.91
6. Step 6: Final answer
   x = 12,954.77