Finding the Third Proportional to 913.50 and 1,983.38

Step by Step Solution

1. Step 1: Write the proportion equation
   913.50 : 1,983.38 = 1,983.38 : x
2. Step 2: Convert to fraction form
   913.50/1,983.38 = 1,983.38/x
3. Step 3: Cross multiply
   913.50x = 1,983.38 × 1,983.38
4. Step 4: Simplify right side
   913.50x = 3,933,776.39
5. Step 5: Solve for x
   x = 3,933,776.39/913.50
6. Step 6: Final answer
   x = 4,306.27