Finding the Third Proportional to 2,756.25 and 5,897.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,756.25 : 5,897.25 = 5,897.25 : x
2. Step 2: Convert to fraction form
   2,756.25/5,897.25 = 5,897.25/x
3. Step 3: Cross multiply
   2,756.25x = 5,897.25 × 5,897.25
4. Step 4: Simplify right side
   2,756.25x = 34,777,557.56
5. Step 5: Solve for x
   x = 34,777,557.56/2,756.25
6. Step 6: Final answer
   x = 12,617.71