Finding the Third Proportional to 635.50 and 983.50

Step by Step Solution

1. Step 1: Write the proportion equation
   635.50 : 983.50 = 983.50 : x
2. Step 2: Convert to fraction form
   635.50/983.50 = 983.50/x
3. Step 3: Cross multiply
   635.50x = 983.50 × 983.50
4. Step 4: Simplify right side
   635.50x = 967,272.25
5. Step 5: Solve for x
   x = 967,272.25/635.50
6. Step 6: Final answer
   x = 1,522.06