Finding the Third Proportional to 6,567.75 and 10,564.88

Step by Step Solution

1. Step 1: Write the proportion equation
   6,567.75 : 10,564.88 = 10,564.88 : x
2. Step 2: Convert to fraction form
   6,567.75/10,564.88 = 10,564.88/x
3. Step 3: Cross multiply
   6,567.75x = 10,564.88 × 10,564.88
4. Step 4: Simplify right side
   6,567.75x = 111,616,583.77
5. Step 5: Solve for x
   x = 111,616,583.77/6,567.75
6. Step 6: Final answer
   x = 16,994.65