Finding the Third Proportional to 564.50 and 1,152.50

Step by Step Solution

1. Step 1: Write the proportion equation
   564.50 : 1,152.50 = 1,152.50 : x
2. Step 2: Convert to fraction form
   564.50/1,152.50 = 1,152.50/x
3. Step 3: Cross multiply
   564.50x = 1,152.50 × 1,152.50
4. Step 4: Simplify right side
   564.50x = 1,328,256.25
5. Step 5: Solve for x
   x = 1,328,256.25/564.50
6. Step 6: Final answer
   x = 2,352.98