Finding the Third Proportional to 3,697.50 and 8,010.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,697.50 : 8,010.38 = 8,010.38 : x
2. Step 2: Convert to fraction form
   3,697.50/8,010.38 = 8,010.38/x
3. Step 3: Cross multiply
   3,697.50x = 8,010.38 × 8,010.38
4. Step 4: Simplify right side
   3,697.50x = 64,166,107.64
5. Step 5: Solve for x
   x = 64,166,107.64/3,697.50
6. Step 6: Final answer
   x = 17,353.92