Finding the Third Proportional to 3,863.56 and 10,302.82

Step by Step Solution

1. Step 1: Write the proportion equation
   3,863.56 : 10,302.82 = 10,302.82 : x
2. Step 2: Convert to fraction form
   3,863.56/10,302.82 = 10,302.82/x
3. Step 3: Cross multiply
   3,863.56x = 10,302.82 × 10,302.82
4. Step 4: Simplify right side
   3,863.56x = 106,148,106.39
5. Step 5: Solve for x
   x = 106,148,106.39/3,863.56
6. Step 6: Final answer
   x = 27,474.19