Finding the Third Proportional to 2,707.31 and 5,890.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,707.31 : 5,890.78 = 5,890.78 : x
2. Step 2: Convert to fraction form
   2,707.31/5,890.78 = 5,890.78/x
3. Step 3: Cross multiply
   2,707.31x = 5,890.78 × 5,890.78
4. Step 4: Simplify right side
   2,707.31x = 34,701,303.74
5. Step 5: Solve for x
   x = 34,701,303.74/2,707.31
6. Step 6: Final answer
   x = 12,817.62