Finding the Third Proportional to 635.25 and 981.56

Step by Step Solution

1. Step 1: Write the proportion equation
   635.25 : 981.56 = 981.56 : x
2. Step 2: Convert to fraction form
   635.25/981.56 = 981.56/x
3. Step 3: Cross multiply
   635.25x = 981.56 × 981.56
4. Step 4: Simplify right side
   635.25x = 963,464.94
5. Step 5: Solve for x
   x = 963,464.94/635.25
6. Step 6: Final answer
   x = 1,516.67