Finding the Third Proportional to 2,697 and 5,657.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,697 : 5,657.25 = 5,657.25 : x
2. Step 2: Convert to fraction form
   2,697/5,657.25 = 5,657.25/x
3. Step 3: Cross multiply
   2,697x = 5,657.25 × 5,657.25
4. Step 4: Simplify right side
   2,697x = 32,004,477.56
5. Step 5: Solve for x
   x = 32,004,477.56/2,697
6. Step 6: Final answer
   x = 11,866.70