Finding the Third Proportional to 2,171.81 and 4,753.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,171.81 : 4,753.69 = 4,753.69 : x
2. Step 2: Convert to fraction form
   2,171.81/4,753.69 = 4,753.69/x
3. Step 3: Cross multiply
   2,171.81x = 4,753.69 × 4,753.69
4. Step 4: Simplify right side
   2,171.81x = 22,597,544.85
5. Step 5: Solve for x
   x = 22,597,544.85/2,171.81
6. Step 6: Final answer
   x = 10,404.92