Finding the Third Proportional to 6,564 and 14,171.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,564 : 14,171.25 = 14,171.25 : x
2. Step 2: Convert to fraction form
   6,564/14,171.25 = 14,171.25/x
3. Step 3: Cross multiply
   6,564x = 14,171.25 × 14,171.25
4. Step 4: Simplify right side
   6,564x = 200,824,326.56
5. Step 5: Solve for x
   x = 200,824,326.56/6,564
6. Step 6: Final answer
   x = 30,594.81