Finding the Third Proportional to 2,707.31 and 5,627.44

Step by Step Solution

1. Step 1: Write the proportion equation
   2,707.31 : 5,627.44 = 5,627.44 : x
2. Step 2: Convert to fraction form
   2,707.31/5,627.44 = 5,627.44/x
3. Step 3: Cross multiply
   2,707.31x = 5,627.44 × 5,627.44
4. Step 4: Simplify right side
   2,707.31x = 31,668,052.82
5. Step 5: Solve for x
   x = 31,668,052.82/2,707.31
6. Step 6: Final answer
   x = 11,697.23