Finding the Third Proportional to 3,676.50 and 8,014.13

Step by Step Solution

1. Step 1: Write the proportion equation
   3,676.50 : 8,014.13 = 8,014.13 : x
2. Step 2: Convert to fraction form
   3,676.50/8,014.13 = 8,014.13/x
3. Step 3: Cross multiply
   3,676.50x = 8,014.13 × 8,014.13
4. Step 4: Simplify right side
   3,676.50x = 64,226,199.52
5. Step 5: Solve for x
   x = 64,226,199.52/3,676.50
6. Step 6: Final answer
   x = 17,469.39