Finding the Third Proportional to 897 and 2,078.50

Step by Step Solution

1. Step 1: Write the proportion equation
   897 : 2,078.50 = 2,078.50 : x
2. Step 2: Convert to fraction form
   897/2,078.50 = 2,078.50/x
3. Step 3: Cross multiply
   897x = 2,078.50 × 2,078.50
4. Step 4: Simplify right side
   897x = 4,320,162.25
5. Step 5: Solve for x
   x = 4,320,162.25/897
6. Step 6: Final answer
   x = 4,816.23