Finding the Third Proportional to 6,571.75 and 14,196.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,571.75 : 14,196.50 = 14,196.50 : x
2. Step 2: Convert to fraction form
   6,571.75/14,196.50 = 14,196.50/x
3. Step 3: Cross multiply
   6,571.75x = 14,196.50 × 14,196.50
4. Step 4: Simplify right side
   6,571.75x = 201,540,612.25
5. Step 5: Solve for x
   x = 201,540,612.25/6,571.75
6. Step 6: Final answer
   x = 30,667.72