Finding the Third Proportional to 427.50 and 637.31

Step by Step Solution

1. Step 1: Write the proportion equation
   427.50 : 637.31 = 637.31 : x
2. Step 2: Convert to fraction form
   427.50/637.31 = 637.31/x
3. Step 3: Cross multiply
   427.50x = 637.31 × 637.31
4. Step 4: Simplify right side
   427.50x = 406,167.22
5. Step 5: Solve for x
   x = 406,167.22/427.50
6. Step 6: Final answer
   x = 950.10