Finding the Third Proportional to 3,858 and 5,462.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,858 : 5,462.63 = 5,462.63 : x
2. Step 2: Convert to fraction form
   3,858/5,462.63 = 5,462.63/x
3. Step 3: Cross multiply
   3,858x = 5,462.63 × 5,462.63
4. Step 4: Simplify right side
   3,858x = 29,840,271.89
5. Step 5: Solve for x
   x = 29,840,271.89/3,858
6. Step 6: Final answer
   x = 7,734.65