Finding the Third Proportional to 651.50 and 1,009.25

Step by Step Solution

1. Step 1: Write the proportion equation
   651.50 : 1,009.25 = 1,009.25 : x
2. Step 2: Convert to fraction form
   651.50/1,009.25 = 1,009.25/x
3. Step 3: Cross multiply
   651.50x = 1,009.25 × 1,009.25
4. Step 4: Simplify right side
   651.50x = 1,018,585.56
5. Step 5: Solve for x
   x = 1,018,585.56/651.50
6. Step 6: Final answer
   x = 1,563.45