Finding the Third Proportional to 6,561.50 and 14,176

Step by Step Solution

1. Step 1: Write the proportion equation
   6,561.50 : 14,176 = 14,176 : x
2. Step 2: Convert to fraction form
   6,561.50/14,176 = 14,176/x
3. Step 3: Cross multiply
   6,561.50x = 14,176 × 14,176
4. Step 4: Simplify right side
   6,561.50x = 200,958,976
5. Step 5: Solve for x
   x = 200,958,976/6,561.50
6. Step 6: Final answer
   x = 30,626.99