Finding the Third Proportional to 6,591.38 and 10,251.56

Step by Step Solution

1. Step 1: Write the proportion equation
   6,591.38 : 10,251.56 = 10,251.56 : x
2. Step 2: Convert to fraction form
   6,591.38/10,251.56 = 10,251.56/x
3. Step 3: Cross multiply
   6,591.38x = 10,251.56 × 10,251.56
4. Step 4: Simplify right side
   6,591.38x = 105,094,533.69
5. Step 5: Solve for x
   x = 105,094,533.69/6,591.38
6. Step 6: Final answer
   x = 15,944.25