Finding the Third Proportional to 2,713.50 and 5,637.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,713.50 : 5,637.09 = 5,637.09 : x
2. Step 2: Convert to fraction form
   2,713.50/5,637.09 = 5,637.09/x
3. Step 3: Cross multiply
   2,713.50x = 5,637.09 × 5,637.09
4. Step 4: Simplify right side
   2,713.50x = 31,776,825.95
5. Step 5: Solve for x
   x = 31,776,825.95/2,713.50
6. Step 6: Final answer
   x = 11,710.64