Finding the Third Proportional to 896.50 and 1,315.25

Step by Step Solution

1. Step 1: Write the proportion equation
   896.50 : 1,315.25 = 1,315.25 : x
2. Step 2: Convert to fraction form
   896.50/1,315.25 = 1,315.25/x
3. Step 3: Cross multiply
   896.50x = 1,315.25 × 1,315.25
4. Step 4: Simplify right side
   896.50x = 1,729,882.56
5. Step 5: Solve for x
   x = 1,729,882.56/896.50
6. Step 6: Final answer
   x = 1,929.60