Finding the Third Proportional to 6,504.56 and 14,102.72

Step by Step Solution

1. Step 1: Write the proportion equation
   6,504.56 : 14,102.72 = 14,102.72 : x
2. Step 2: Convert to fraction form
   6,504.56/14,102.72 = 14,102.72/x
3. Step 3: Cross multiply
   6,504.56x = 14,102.72 × 14,102.72
4. Step 4: Simplify right side
   6,504.56x = 198,886,676.14
5. Step 5: Solve for x
   x = 198,886,676.14/6,504.56
6. Step 6: Final answer
   x = 30,576.49