Finding the Third Proportional to 459.63 and 983.38

Step by Step Solution

1. Step 1: Write the proportion equation
   459.63 : 983.38 = 983.38 : x
2. Step 2: Convert to fraction form
   459.63/983.38 = 983.38/x
3. Step 3: Cross multiply
   459.63x = 983.38 × 983.38
4. Step 4: Simplify right side
   459.63x = 967,026.39
5. Step 5: Solve for x
   x = 967,026.39/459.63
6. Step 6: Final answer
   x = 2,103.95