Finding the Third Proportional to 4,827.87 and 10,174.71

Step by Step Solution

1. Step 1: Write the proportion equation
   4,827.87 : 10,174.71 = 10,174.71 : x
2. Step 2: Convert to fraction form
   4,827.87/10,174.71 = 10,174.71/x
3. Step 3: Cross multiply
   4,827.87x = 10,174.71 × 10,174.71
4. Step 4: Simplify right side
   4,827.87x = 103,524,742.66
5. Step 5: Solve for x
   x = 103,524,742.66/4,827.87
6. Step 6: Final answer
   x = 21,443.16