Finding the Third Proportional to 3,697.31 and 8,047.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,697.31 : 8,047.69 = 8,047.69 : x
2. Step 2: Convert to fraction form
   3,697.31/8,047.69 = 8,047.69/x
3. Step 3: Cross multiply
   3,697.31x = 8,047.69 × 8,047.69
4. Step 4: Simplify right side
   3,697.31x = 64,765,274.10
5. Step 5: Solve for x
   x = 64,765,274.10/3,697.31
6. Step 6: Final answer
   x = 17,516.85