Finding the Third Proportional to 564.50 and 869.25

Step by Step Solution

1. Step 1: Write the proportion equation
   564.50 : 869.25 = 869.25 : x
2. Step 2: Convert to fraction form
   564.50/869.25 = 869.25/x
3. Step 3: Cross multiply
   564.50x = 869.25 × 869.25
4. Step 4: Simplify right side
   564.50x = 755,595.56
5. Step 5: Solve for x
   x = 755,595.56/564.50
6. Step 6: Final answer
   x = 1,338.52