Finding the Third Proportional to 564 and 1,307.50

Step by Step Solution

1. Step 1: Write the proportion equation
   564 : 1,307.50 = 1,307.50 : x
2. Step 2: Convert to fraction form
   564/1,307.50 = 1,307.50/x
3. Step 3: Cross multiply
   564x = 1,307.50 × 1,307.50
4. Step 4: Simplify right side
   564x = 1,709,556.25
5. Step 5: Solve for x
   x = 1,709,556.25/564
6. Step 6: Final answer
   x = 3,031.13