Finding the Third Proportional to 3,188.53 and 7,037.72

Step by Step Solution

1. Step 1: Write the proportion equation
   3,188.53 : 7,037.72 = 7,037.72 : x
2. Step 2: Convert to fraction form
   3,188.53/7,037.72 = 7,037.72/x
3. Step 3: Cross multiply
   3,188.53x = 7,037.72 × 7,037.72
4. Step 4: Simplify right side
   3,188.53x = 49,529,485.20
5. Step 5: Solve for x
   x = 49,529,485.20/3,188.53
6. Step 6: Final answer
   x = 15,533.64