Finding the Third Proportional to 4,560 and 10,564.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,560 : 10,564.50 = 10,564.50 : x
2. Step 2: Convert to fraction form
   4,560/10,564.50 = 10,564.50/x
3. Step 3: Cross multiply
   4,560x = 10,564.50 × 10,564.50
4. Step 4: Simplify right side
   4,560x = 111,608,660.25
5. Step 5: Solve for x
   x = 111,608,660.25/4,560
6. Step 6: Final answer
   x = 24,475.58