Finding the Third Proportional to 453.38 and 983.53

Step by Step Solution

1. Step 1: Write the proportion equation
   453.38 : 983.53 = 983.53 : x
2. Step 2: Convert to fraction form
   453.38/983.53 = 983.53/x
3. Step 3: Cross multiply
   453.38x = 983.53 × 983.53
4. Step 4: Simplify right side
   453.38x = 967,333.72
5. Step 5: Solve for x
   x = 967,333.72/453.38
6. Step 6: Final answer
   x = 2,133.63