Finding the Third Proportional to 897 and 1,393.50

Step by Step Solution

1. Step 1: Write the proportion equation
   897 : 1,393.50 = 1,393.50 : x
2. Step 2: Convert to fraction form
   897/1,393.50 = 1,393.50/x
3. Step 3: Cross multiply
   897x = 1,393.50 × 1,393.50
4. Step 4: Simplify right side
   897x = 1,941,842.25
5. Step 5: Solve for x
   x = 1,941,842.25/897
6. Step 6: Final answer
   x = 2,164.82