Finding the Third Proportional to 663.50 and 1,009.25

Step by Step Solution

1. Step 1: Write the proportion equation
   663.50 : 1,009.25 = 1,009.25 : x
2. Step 2: Convert to fraction form
   663.50/1,009.25 = 1,009.25/x
3. Step 3: Cross multiply
   663.50x = 1,009.25 × 1,009.25
4. Step 4: Simplify right side
   663.50x = 1,018,585.56
5. Step 5: Solve for x
   x = 1,018,585.56/663.50
6. Step 6: Final answer
   x = 1,535.17